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Finding the Fourth Proportional to 15,124.59, 20,853.86 and 9,817.47

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Solution

The fourth proportional to 15,124.59, 20,853.86 and 9,817.47 is: 13,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124.59 : 20,853.86 = 9,817.47 : x
  2. Step 2: Convert to fraction form
    15,124.59/20,853.86 = 9,817.47/x
  3. Step 3: Cross multiply
    15,124.59x = 20,853.86 × 9,817.47
  4. Step 4: Simplify right side
    15,124.59x = 204,732,095.85
  5. Step 5: Solve for x
    x = 204,732,095.85/15,124.59
  6. Step 6: Final answer
    x = 13,536.37

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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.