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Finding the Fourth Proportional to 38,411.50, 53,007.90 and 20,747.50

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Solution

The fourth proportional to 38,411.50, 53,007.90 and 20,747.50 is: 28,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.50 : 53,007.90 = 20,747.50 : x
  2. Step 2: Convert to fraction form
    38,411.50/53,007.90 = 20,747.50/x
  3. Step 3: Cross multiply
    38,411.50x = 53,007.90 × 20,747.50
  4. Step 4: Simplify right side
    38,411.50x = 1,099,781,405.25
  5. Step 5: Solve for x
    x = 1,099,781,405.25/38,411.50
  6. Step 6: Final answer
    x = 28,631.57

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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.