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Finding the Fourth Proportional to 9,254.50, 13,809.06 and 8,689.64

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Solution

The fourth proportional to 9,254.50, 13,809.06 and 8,689.64 is: 12,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.50 : 13,809.06 = 8,689.64 : x
  2. Step 2: Convert to fraction form
    9,254.50/13,809.06 = 8,689.64/x
  3. Step 3: Cross multiply
    9,254.50x = 13,809.06 × 8,689.64
  4. Step 4: Simplify right side
    9,254.50x = 119,995,691.09
  5. Step 5: Solve for x
    x = 119,995,691.09/9,254.50
  6. Step 6: Final answer
    x = 12,966.20

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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.