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Finding the Fourth Proportional to 5,432.64, 8,148.96 and 1,925.22

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Solution

The fourth proportional to 5,432.64, 8,148.96 and 1,925.22 is: 2,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.64 : 8,148.96 = 1,925.22 : x
  2. Step 2: Convert to fraction form
    5,432.64/8,148.96 = 1,925.22/x
  3. Step 3: Cross multiply
    5,432.64x = 8,148.96 × 1,925.22
  4. Step 4: Simplify right side
    5,432.64x = 15,688,540.77
  5. Step 5: Solve for x
    x = 15,688,540.77/5,432.64
  6. Step 6: Final answer
    x = 2,887.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.