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Finding the Fourth Proportional to 9,691.88, 14,537.88 and 9,219.68

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Solution

The fourth proportional to 9,691.88, 14,537.88 and 9,219.68 is: 13,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.88 : 14,537.88 = 9,219.68 : x
  2. Step 2: Convert to fraction form
    9,691.88/14,537.88 = 9,219.68/x
  3. Step 3: Cross multiply
    9,691.88x = 14,537.88 × 9,219.68
  4. Step 4: Simplify right side
    9,691.88x = 134,034,601.48
  5. Step 5: Solve for x
    x = 134,034,601.48/9,691.88
  6. Step 6: Final answer
    x = 13,829.58

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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.