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Finding the Fourth Proportional to 8,968.61, 12,374.42 and 5,431.14

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Solution

The fourth proportional to 8,968.61, 12,374.42 and 5,431.14 is: 7,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.61 : 12,374.42 = 5,431.14 : x
  2. Step 2: Convert to fraction form
    8,968.61/12,374.42 = 5,431.14/x
  3. Step 3: Cross multiply
    8,968.61x = 12,374.42 × 5,431.14
  4. Step 4: Simplify right side
    8,968.61x = 67,207,180.28
  5. Step 5: Solve for x
    x = 67,207,180.28/8,968.61
  6. Step 6: Final answer
    x = 7,493.60

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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.