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Finding the Fourth Proportional to 5,434.32, 8,151.72 and 5,426.64

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Solution

The fourth proportional to 5,434.32, 8,151.72 and 5,426.64 is: 8,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.32 : 8,151.72 = 5,426.64 : x
  2. Step 2: Convert to fraction form
    5,434.32/8,151.72 = 5,426.64/x
  3. Step 3: Cross multiply
    5,434.32x = 8,151.72 × 5,426.64
  4. Step 4: Simplify right side
    5,434.32x = 44,236,449.82
  5. Step 5: Solve for x
    x = 44,236,449.82/5,434.32
  6. Step 6: Final answer
    x = 8,140.20

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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.