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Finding the Fourth Proportional to 6,432.02, 8,875.68 and 3,742.82

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Solution

The fourth proportional to 6,432.02, 8,875.68 and 3,742.82 is: 5,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.02 : 8,875.68 = 3,742.82 : x
  2. Step 2: Convert to fraction form
    6,432.02/8,875.68 = 3,742.82/x
  3. Step 3: Cross multiply
    6,432.02x = 8,875.68 × 3,742.82
  4. Step 4: Simplify right side
    6,432.02x = 33,220,072.62
  5. Step 5: Solve for x
    x = 33,220,072.62/6,432.02
  6. Step 6: Final answer
    x = 5,164.80

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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.