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Finding the Fourth Proportional to 7,762.92, 10,715.93 and 7,649.01

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Solution

The fourth proportional to 7,762.92, 10,715.93 and 7,649.01 is: 10,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.92 : 10,715.93 = 7,649.01 : x
  2. Step 2: Convert to fraction form
    7,762.92/10,715.93 = 7,649.01/x
  3. Step 3: Cross multiply
    7,762.92x = 10,715.93 × 7,649.01
  4. Step 4: Simplify right side
    7,762.92x = 81,966,255.73
  5. Step 5: Solve for x
    x = 81,966,255.73/7,762.92
  6. Step 6: Final answer
    x = 10,558.69

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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.