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Finding the Fourth Proportional to 7,083.16, 9,775.01 and 3,896.70

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Solution

The fourth proportional to 7,083.16, 9,775.01 and 3,896.70 is: 5,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.16 : 9,775.01 = 3,896.70 : x
  2. Step 2: Convert to fraction form
    7,083.16/9,775.01 = 3,896.70/x
  3. Step 3: Cross multiply
    7,083.16x = 9,775.01 × 3,896.70
  4. Step 4: Simplify right side
    7,083.16x = 38,090,281.47
  5. Step 5: Solve for x
    x = 38,090,281.47/7,083.16
  6. Step 6: Final answer
    x = 5,377.58

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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.