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Finding the Fourth Proportional to 38,948.32, 53,749.02 and 22,182.40

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Solution

The fourth proportional to 38,948.32, 53,749.02 and 22,182.40 is: 30,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948.32 : 53,749.02 = 22,182.40 : x
  2. Step 2: Convert to fraction form
    38,948.32/53,749.02 = 22,182.40/x
  3. Step 3: Cross multiply
    38,948.32x = 53,749.02 × 22,182.40
  4. Step 4: Simplify right side
    38,948.32x = 1,192,282,261.25
  5. Step 5: Solve for x
    x = 1,192,282,261.25/38,948.32
  6. Step 6: Final answer
    x = 30,611.90

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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.