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Finding the Fourth Proportional to 7,720.17, 11,512.47 and 7,650.02

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Solution

The fourth proportional to 7,720.17, 11,512.47 and 7,650.02 is: 11,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.17 : 11,512.47 = 7,650.02 : x
  2. Step 2: Convert to fraction form
    7,720.17/11,512.47 = 7,650.02/x
  3. Step 3: Cross multiply
    7,720.17x = 11,512.47 × 7,650.02
  4. Step 4: Simplify right side
    7,720.17x = 88,070,568.19
  5. Step 5: Solve for x
    x = 88,070,568.19/7,720.17
  6. Step 6: Final answer
    x = 11,407.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.