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Finding the Fourth Proportional to 15,083.50, 20,817.14 and 9,913.74

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Solution

The fourth proportional to 15,083.50, 20,817.14 and 9,913.74 is: 13,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.50 : 20,817.14 = 9,913.74 : x
  2. Step 2: Convert to fraction form
    15,083.50/20,817.14 = 9,913.74/x
  3. Step 3: Cross multiply
    15,083.50x = 20,817.14 × 9,913.74
  4. Step 4: Simplify right side
    15,083.50x = 206,375,663.93
  5. Step 5: Solve for x
    x = 206,375,663.93/15,083.50
  6. Step 6: Final answer
    x = 13,682.21

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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.