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Finding the Fourth Proportional to 38,982.80, 58,435.80 and 19,264.40

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Solution

The fourth proportional to 38,982.80, 58,435.80 and 19,264.40 is: 28,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982.80 : 58,435.80 = 19,264.40 : x
  2. Step 2: Convert to fraction form
    38,982.80/58,435.80 = 19,264.40/x
  3. Step 3: Cross multiply
    38,982.80x = 58,435.80 × 19,264.40
  4. Step 4: Simplify right side
    38,982.80x = 1,125,730,625.52
  5. Step 5: Solve for x
    x = 1,125,730,625.52/38,982.80
  6. Step 6: Final answer
    x = 28,877.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.