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Finding the Fourth Proportional to 12,684.48, 17,497.44 and 8,952

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Solution

The fourth proportional to 12,684.48, 17,497.44 and 8,952 is: 12,348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.48 : 17,497.44 = 8,952 : x
  2. Step 2: Convert to fraction form
    12,684.48/17,497.44 = 8,952/x
  3. Step 3: Cross multiply
    12,684.48x = 17,497.44 × 8,952
  4. Step 4: Simplify right side
    12,684.48x = 156,637,082.88
  5. Step 5: Solve for x
    x = 156,637,082.88/12,684.48
  6. Step 6: Final answer
    x = 12,348.72

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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.