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Finding the Fourth Proportional to 8,276.31, 11,432.39 and 8,155.86

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Solution

The fourth proportional to 8,276.31, 11,432.39 and 8,155.86 is: 11,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.31 : 11,432.39 = 8,155.86 : x
  2. Step 2: Convert to fraction form
    8,276.31/11,432.39 = 8,155.86/x
  3. Step 3: Cross multiply
    8,276.31x = 11,432.39 × 8,155.86
  4. Step 4: Simplify right side
    8,276.31x = 93,240,915.14
  5. Step 5: Solve for x
    x = 93,240,915.14/8,276.31
  6. Step 6: Final answer
    x = 11,266.00

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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.