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Finding the Fourth Proportional to 10,867.72, 14,997 and 6,152.28

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Solution

The fourth proportional to 10,867.72, 14,997 and 6,152.28 is: 8,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.72 : 14,997 = 6,152.28 : x
  2. Step 2: Convert to fraction form
    10,867.72/14,997 = 6,152.28/x
  3. Step 3: Cross multiply
    10,867.72x = 14,997 × 6,152.28
  4. Step 4: Simplify right side
    10,867.72x = 92,265,743.16
  5. Step 5: Solve for x
    x = 92,265,743.16/10,867.72
  6. Step 6: Final answer
    x = 8,489.89

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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.