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Finding the Fourth Proportional to 39,294, 54,225.72 and 21,630

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Solution

The fourth proportional to 39,294, 54,225.72 and 21,630 is: 29,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,294 : 54,225.72 = 21,630 : x
  2. Step 2: Convert to fraction form
    39,294/54,225.72 = 21,630/x
  3. Step 3: Cross multiply
    39,294x = 54,225.72 × 21,630
  4. Step 4: Simplify right side
    39,294x = 1,172,902,323.60
  5. Step 5: Solve for x
    x = 1,172,902,323.60/39,294
  6. Step 6: Final answer
    x = 29,849.40

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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.