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Finding the Fourth Proportional to 12,691, 17,509.32 and 7,381.48

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Solution

The fourth proportional to 12,691, 17,509.32 and 7,381.48 is: 10,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691 : 17,509.32 = 7,381.48 : x
  2. Step 2: Convert to fraction form
    12,691/17,509.32 = 7,381.48/x
  3. Step 3: Cross multiply
    12,691x = 17,509.32 × 7,381.48
  4. Step 4: Simplify right side
    12,691x = 129,244,695.39
  5. Step 5: Solve for x
    x = 129,244,695.39/12,691
  6. Step 6: Final answer
    x = 10,183.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.