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Finding the Fourth Proportional to 12,712.55, 17,531.24 and 8,234.06

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Solution

The fourth proportional to 12,712.55, 17,531.24 and 8,234.06 is: 11,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.55 : 17,531.24 = 8,234.06 : x
  2. Step 2: Convert to fraction form
    12,712.55/17,531.24 = 8,234.06/x
  3. Step 3: Cross multiply
    12,712.55x = 17,531.24 × 8,234.06
  4. Step 4: Simplify right side
    12,712.55x = 144,353,153.21
  5. Step 5: Solve for x
    x = 144,353,153.21/12,712.55
  6. Step 6: Final answer
    x = 11,355.17

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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.