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Finding the Fourth Proportional to 38,175, 52,681.53 and 21,408

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Solution

The fourth proportional to 38,175, 52,681.53 and 21,408 is: 29,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175 : 52,681.53 = 21,408 : x
  2. Step 2: Convert to fraction form
    38,175/52,681.53 = 21,408/x
  3. Step 3: Cross multiply
    38,175x = 52,681.53 × 21,408
  4. Step 4: Simplify right side
    38,175x = 1,127,806,194.24
  5. Step 5: Solve for x
    x = 1,127,806,194.24/38,175
  6. Step 6: Final answer
    x = 29,543.06

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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.