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Finding the Fourth Proportional to 11,869.61, 16,380.17 and 6,564.78

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Solution

The fourth proportional to 11,869.61, 16,380.17 and 6,564.78 is: 9,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.61 : 16,380.17 = 6,564.78 : x
  2. Step 2: Convert to fraction form
    11,869.61/16,380.17 = 6,564.78/x
  3. Step 3: Cross multiply
    11,869.61x = 16,380.17 × 6,564.78
  4. Step 4: Simplify right side
    11,869.61x = 107,532,212.41
  5. Step 5: Solve for x
    x = 107,532,212.41/11,869.61
  6. Step 6: Final answer
    x = 9,059.46

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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.