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Finding the Fourth Proportional to 15,147, 20,904.48 and 8,864.64

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Solution

The fourth proportional to 15,147, 20,904.48 and 8,864.64 is: 12,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 20,904.48 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    15,147/20,904.48 = 8,864.64/x
  3. Step 3: Cross multiply
    15,147x = 20,904.48 × 8,864.64
  4. Step 4: Simplify right side
    15,147x = 185,310,689.59
  5. Step 5: Solve for x
    x = 185,310,689.59/15,147
  6. Step 6: Final answer
    x = 12,234.15

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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.