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Finding the Fourth Proportional to 10,488.78, 15,733.16 and 3,098.43

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Solution

The fourth proportional to 10,488.78, 15,733.16 and 3,098.43 is: 4,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.78 : 15,733.16 = 3,098.43 : x
  2. Step 2: Convert to fraction form
    10,488.78/15,733.16 = 3,098.43/x
  3. Step 3: Cross multiply
    10,488.78x = 15,733.16 × 3,098.43
  4. Step 4: Simplify right side
    10,488.78x = 48,748,108.95
  5. Step 5: Solve for x
    x = 48,748,108.95/10,488.78
  6. Step 6: Final answer
    x = 4,647.64

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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.