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Finding the Fourth Proportional to 38,421, 53,020.98 and 21,654

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Solution

The fourth proportional to 38,421, 53,020.98 and 21,654 is: 29,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 53,020.98 = 21,654 : x
  2. Step 2: Convert to fraction form
    38,421/53,020.98 = 21,654/x
  3. Step 3: Cross multiply
    38,421x = 53,020.98 × 21,654
  4. Step 4: Simplify right side
    38,421x = 1,148,116,300.92
  5. Step 5: Solve for x
    x = 1,148,116,300.92/38,421
  6. Step 6: Final answer
    x = 29,882.52

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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.