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Finding the Fourth Proportional to 12,505.17, 17,266.17 and 7,731.66

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Solution

The fourth proportional to 12,505.17, 17,266.17 and 7,731.66 is: 10,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.17 : 17,266.17 = 7,731.66 : x
  2. Step 2: Convert to fraction form
    12,505.17/17,266.17 = 7,731.66/x
  3. Step 3: Cross multiply
    12,505.17x = 17,266.17 × 7,731.66
  4. Step 4: Simplify right side
    12,505.17x = 133,496,155.94
  5. Step 5: Solve for x
    x = 133,496,155.94/12,505.17
  6. Step 6: Final answer
    x = 10,675.28

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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.