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Finding the Fourth Proportional to 12,596.49, 17,382.87 and 6,931.35

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Solution

The fourth proportional to 12,596.49, 17,382.87 and 6,931.35 is: 9,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.49 : 17,382.87 = 6,931.35 : x
  2. Step 2: Convert to fraction form
    12,596.49/17,382.87 = 6,931.35/x
  3. Step 3: Cross multiply
    12,596.49x = 17,382.87 × 6,931.35
  4. Step 4: Simplify right side
    12,596.49x = 120,486,755.97
  5. Step 5: Solve for x
    x = 120,486,755.97/12,596.49
  6. Step 6: Final answer
    x = 9,565.11

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