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Finding the Fourth Proportional to 38,902.50, 53,689.10 and 22,135.50

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Solution

The fourth proportional to 38,902.50, 53,689.10 and 22,135.50 is: 30,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902.50 : 53,689.10 = 22,135.50 : x
  2. Step 2: Convert to fraction form
    38,902.50/53,689.10 = 22,135.50/x
  3. Step 3: Cross multiply
    38,902.50x = 53,689.10 × 22,135.50
  4. Step 4: Simplify right side
    38,902.50x = 1,188,434,962.37
  5. Step 5: Solve for x
    x = 1,188,434,962.37/38,902.50
  6. Step 6: Final answer
    x = 30,549.06

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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.