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Finding the Fourth Proportional to 11,520, 17,294.52 and 9,799.56

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Solution

The fourth proportional to 11,520, 17,294.52 and 9,799.56 is: 14,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 17,294.52 = 9,799.56 : x
  2. Step 2: Convert to fraction form
    11,520/17,294.52 = 9,799.56/x
  3. Step 3: Cross multiply
    11,520x = 17,294.52 × 9,799.56
  4. Step 4: Simplify right side
    11,520x = 169,478,686.41
  5. Step 5: Solve for x
    x = 169,478,686.41/11,520
  6. Step 6: Final answer
    x = 14,711.69

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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.