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Finding the Fourth Proportional to 38,412.40, 57,621.30 and 21,780.40

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Solution

The fourth proportional to 38,412.40, 57,621.30 and 21,780.40 is: 32,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.40 : 57,621.30 = 21,780.40 : x
  2. Step 2: Convert to fraction form
    38,412.40/57,621.30 = 21,780.40/x
  3. Step 3: Cross multiply
    38,412.40x = 57,621.30 × 21,780.40
  4. Step 4: Simplify right side
    38,412.40x = 1,255,014,962.52
  5. Step 5: Solve for x
    x = 1,255,014,962.52/38,412.40
  6. Step 6: Final answer
    x = 32,672.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.