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Finding the Fourth Proportional to 21,169.61, 31,743.05 and 7,124.97

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Solution

The fourth proportional to 21,169.61, 31,743.05 and 7,124.97 is: 10,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.61 : 31,743.05 = 7,124.97 : x
  2. Step 2: Convert to fraction form
    21,169.61/31,743.05 = 7,124.97/x
  3. Step 3: Cross multiply
    21,169.61x = 31,743.05 × 7,124.97
  4. Step 4: Simplify right side
    21,169.61x = 226,168,278.96
  5. Step 5: Solve for x
    x = 226,168,278.96/21,169.61
  6. Step 6: Final answer
    x = 10,683.63

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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.