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Finding the Fourth Proportional to 12,564.59, 17,347.19 and 11,217.87

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Solution

The fourth proportional to 12,564.59, 17,347.19 and 11,217.87 is: 15,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.59 : 17,347.19 = 11,217.87 : x
  2. Step 2: Convert to fraction form
    12,564.59/17,347.19 = 11,217.87/x
  3. Step 3: Cross multiply
    12,564.59x = 17,347.19 × 11,217.87
  4. Step 4: Simplify right side
    12,564.59x = 194,598,466.20
  5. Step 5: Solve for x
    x = 194,598,466.20/12,564.59
  6. Step 6: Final answer
    x = 15,487.85

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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.