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Finding the Fourth Proportional to 10,384.88, 15,540.16 and 9,689.76

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Solution

The fourth proportional to 10,384.88, 15,540.16 and 9,689.76 is: 14,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.88 : 15,540.16 = 9,689.76 : x
  2. Step 2: Convert to fraction form
    10,384.88/15,540.16 = 9,689.76/x
  3. Step 3: Cross multiply
    10,384.88x = 15,540.16 × 9,689.76
  4. Step 4: Simplify right side
    10,384.88x = 150,580,420.76
  5. Step 5: Solve for x
    x = 150,580,420.76/10,384.88
  6. Step 6: Final answer
    x = 14,499.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.