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Finding the Fourth Proportional to 7,907.68, 10,916.22 and 5,640.76

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Solution

The fourth proportional to 7,907.68, 10,916.22 and 5,640.76 is: 7,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.68 : 10,916.22 = 5,640.76 : x
  2. Step 2: Convert to fraction form
    7,907.68/10,916.22 = 5,640.76/x
  3. Step 3: Cross multiply
    7,907.68x = 10,916.22 × 5,640.76
  4. Step 4: Simplify right side
    7,907.68x = 61,575,777.13
  5. Step 5: Solve for x
    x = 61,575,777.13/7,907.68
  6. Step 6: Final answer
    x = 7,786.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.