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Finding the Fourth Proportional to 30,487.92, 42,079.32 and 19,302

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Solution

The fourth proportional to 30,487.92, 42,079.32 and 19,302 is: 26,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487.92 : 42,079.32 = 19,302 : x
  2. Step 2: Convert to fraction form
    30,487.92/42,079.32 = 19,302/x
  3. Step 3: Cross multiply
    30,487.92x = 42,079.32 × 19,302
  4. Step 4: Simplify right side
    30,487.92x = 812,215,034.64
  5. Step 5: Solve for x
    x = 812,215,034.64/30,487.92
  6. Step 6: Final answer
    x = 26,640.55

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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.