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Finding the Fourth Proportional to 53,000.92, 73,205.40 and 38,638

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Solution

The fourth proportional to 53,000.92, 73,205.40 and 38,638 is: 53,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000.92 : 73,205.40 = 38,638 : x
  2. Step 2: Convert to fraction form
    53,000.92/73,205.40 = 38,638/x
  3. Step 3: Cross multiply
    53,000.92x = 73,205.40 × 38,638
  4. Step 4: Simplify right side
    53,000.92x = 2,828,510,245.20
  5. Step 5: Solve for x
    x = 2,828,510,245.20/53,000.92
  6. Step 6: Final answer
    x = 53,367.19

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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.