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Finding the Fourth Proportional to 9,117.10, 12,549.99 and 7,862.32

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Solution

The fourth proportional to 9,117.10, 12,549.99 and 7,862.32 is: 10,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.10 : 12,549.99 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    9,117.10/12,549.99 = 7,862.32/x
  3. Step 3: Cross multiply
    9,117.10x = 12,549.99 × 7,862.32
  4. Step 4: Simplify right side
    9,117.10x = 98,672,037.38
  5. Step 5: Solve for x
    x = 98,672,037.38/9,117.10
  6. Step 6: Final answer
    x = 10,822.74

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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.