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Finding the Fourth Proportional to 7,720.71, 10,677.00 and 7,580.52

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Solution

The fourth proportional to 7,720.71, 10,677.00 and 7,580.52 is: 10,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.71 : 10,677.00 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    7,720.71/10,677.00 = 7,580.52/x
  3. Step 3: Cross multiply
    7,720.71x = 10,677.00 × 7,580.52
  4. Step 4: Simplify right side
    7,720.71x = 80,937,207.29
  5. Step 5: Solve for x
    x = 80,937,207.29/7,720.71
  6. Step 6: Final answer
    x = 10,483.13

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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.