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Finding the Fourth Proportional to 38,169, 52,673.22 and 21,402

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Solution

The fourth proportional to 38,169, 52,673.22 and 21,402 is: 29,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 52,673.22 = 21,402 : x
  2. Step 2: Convert to fraction form
    38,169/52,673.22 = 21,402/x
  3. Step 3: Cross multiply
    38,169x = 52,673.22 × 21,402
  4. Step 4: Simplify right side
    38,169x = 1,127,312,254.44
  5. Step 5: Solve for x
    x = 1,127,312,254.44/38,169
  6. Step 6: Final answer
    x = 29,534.76

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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.