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Finding the Fourth Proportional to 12,302.10, 16,972 and 7,578.18

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Solution

The fourth proportional to 12,302.10, 16,972 and 7,578.18 is: 10,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.10 : 16,972 = 7,578.18 : x
  2. Step 2: Convert to fraction form
    12,302.10/16,972 = 7,578.18/x
  3. Step 3: Cross multiply
    12,302.10x = 16,972 × 7,578.18
  4. Step 4: Simplify right side
    12,302.10x = 128,616,870.96
  5. Step 5: Solve for x
    x = 128,616,870.96/12,302.10
  6. Step 6: Final answer
    x = 10,454.87

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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.