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Finding the Fourth Proportional to 12,584.42, 17,366.36 and 7,279.12

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Solution

The fourth proportional to 12,584.42, 17,366.36 and 7,279.12 is: 10,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.42 : 17,366.36 = 7,279.12 : x
  2. Step 2: Convert to fraction form
    12,584.42/17,366.36 = 7,279.12/x
  3. Step 3: Cross multiply
    12,584.42x = 17,366.36 × 7,279.12
  4. Step 4: Simplify right side
    12,584.42x = 126,411,818.40
  5. Step 5: Solve for x
    x = 126,411,818.40/12,584.42
  6. Step 6: Final answer
    x = 10,045.10

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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.