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Finding the Fourth Proportional to 11,689.76, 16,132.08 and 6,384.80

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Solution

The fourth proportional to 11,689.76, 16,132.08 and 6,384.80 is: 8,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.76 : 16,132.08 = 6,384.80 : x
  2. Step 2: Convert to fraction form
    11,689.76/16,132.08 = 6,384.80/x
  3. Step 3: Cross multiply
    11,689.76x = 16,132.08 × 6,384.80
  4. Step 4: Simplify right side
    11,689.76x = 103,000,104.38
  5. Step 5: Solve for x
    x = 103,000,104.38/11,689.76
  6. Step 6: Final answer
    x = 8,811.14

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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.