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Finding the Fourth Proportional to 12,658.98, 18,971.96 and 9,160.77

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Solution

The fourth proportional to 12,658.98, 18,971.96 and 9,160.77 is: 13,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.98 : 18,971.96 = 9,160.77 : x
  2. Step 2: Convert to fraction form
    12,658.98/18,971.96 = 9,160.77/x
  3. Step 3: Cross multiply
    12,658.98x = 18,971.96 × 9,160.77
  4. Step 4: Simplify right side
    12,658.98x = 173,797,716.21
  5. Step 5: Solve for x
    x = 173,797,716.21/12,658.98
  6. Step 6: Final answer
    x = 13,729.20

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1.5x scale

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.