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Finding the Fourth Proportional to 10,703.70, 16,058.25 and 8,642.43

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Solution

The fourth proportional to 10,703.70, 16,058.25 and 8,642.43 is: 12,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.70 : 16,058.25 = 8,642.43 : x
  2. Step 2: Convert to fraction form
    10,703.70/16,058.25 = 8,642.43/x
  3. Step 3: Cross multiply
    10,703.70x = 16,058.25 × 8,642.43
  4. Step 4: Simplify right side
    10,703.70x = 138,782,301.55
  5. Step 5: Solve for x
    x = 138,782,301.55/10,703.70
  6. Step 6: Final answer
    x = 12,965.83

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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.