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Finding the Fourth Proportional to 38,175, 52,681.50 and 21,408

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Solution

The fourth proportional to 38,175, 52,681.50 and 21,408 is: 29,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175 : 52,681.50 = 21,408 : x
  2. Step 2: Convert to fraction form
    38,175/52,681.50 = 21,408/x
  3. Step 3: Cross multiply
    38,175x = 52,681.50 × 21,408
  4. Step 4: Simplify right side
    38,175x = 1,127,805,552
  5. Step 5: Solve for x
    x = 1,127,805,552/38,175
  6. Step 6: Final answer
    x = 29,543.04

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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.