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Finding the Fourth Proportional to 11,478.71, 15,836.10 and 6,630.86

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Solution

The fourth proportional to 11,478.71, 15,836.10 and 6,630.86 is: 9,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.71 : 15,836.10 = 6,630.86 : x
  2. Step 2: Convert to fraction form
    11,478.71/15,836.10 = 6,630.86/x
  3. Step 3: Cross multiply
    11,478.71x = 15,836.10 × 6,630.86
  4. Step 4: Simplify right side
    11,478.71x = 105,006,962.05
  5. Step 5: Solve for x
    x = 105,006,962.05/11,478.71
  6. Step 6: Final answer
    x = 9,147.98

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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.