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Finding the Fourth Proportional to 8,432.76, 11,633.28 and 5,406.06

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Solution

The fourth proportional to 8,432.76, 11,633.28 and 5,406.06 is: 7,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.76 : 11,633.28 = 5,406.06 : x
  2. Step 2: Convert to fraction form
    8,432.76/11,633.28 = 5,406.06/x
  3. Step 3: Cross multiply
    8,432.76x = 11,633.28 × 5,406.06
  4. Step 4: Simplify right side
    8,432.76x = 62,890,209.68
  5. Step 5: Solve for x
    x = 62,890,209.68/8,432.76
  6. Step 6: Final answer
    x = 7,457.84

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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.