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Finding the Fourth Proportional to 38,153.36, 52,652.04 and 21,386

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Solution

The fourth proportional to 38,153.36, 52,652.04 and 21,386 is: 29,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153.36 : 52,652.04 = 21,386 : x
  2. Step 2: Convert to fraction form
    38,153.36/52,652.04 = 21,386/x
  3. Step 3: Cross multiply
    38,153.36x = 52,652.04 × 21,386
  4. Step 4: Simplify right side
    38,153.36x = 1,126,016,527.44
  5. Step 5: Solve for x
    x = 1,126,016,527.44/38,153.36
  6. Step 6: Final answer
    x = 29,512.91

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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.