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Finding the Fourth Proportional to 12,505.91, 17,264.43 and 9,666.88

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Solution

The fourth proportional to 12,505.91, 17,264.43 and 9,666.88 is: 13,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.91 : 17,264.43 = 9,666.88 : x
  2. Step 2: Convert to fraction form
    12,505.91/17,264.43 = 9,666.88/x
  3. Step 3: Cross multiply
    12,505.91x = 17,264.43 × 9,666.88
  4. Step 4: Simplify right side
    12,505.91x = 166,893,129.92
  5. Step 5: Solve for x
    x = 166,893,129.92/12,505.91
  6. Step 6: Final answer
    x = 13,345.15

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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.