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Finding the Fourth Proportional to 10,258, 15,387.10 and 2,863

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Solution

The fourth proportional to 10,258, 15,387.10 and 2,863 is: 4,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258 : 15,387.10 = 2,863 : x
  2. Step 2: Convert to fraction form
    10,258/15,387.10 = 2,863/x
  3. Step 3: Cross multiply
    10,258x = 15,387.10 × 2,863
  4. Step 4: Simplify right side
    10,258x = 44,053,267.30
  5. Step 5: Solve for x
    x = 44,053,267.30/10,258
  6. Step 6: Final answer
    x = 4,294.53

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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.