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Finding the Fourth Proportional to 5,462.34, 8,138.55 and 5,407.71

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Solution

The fourth proportional to 5,462.34, 8,138.55 and 5,407.71 is: 8,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.34 : 8,138.55 = 5,407.71 : x
  2. Step 2: Convert to fraction form
    5,462.34/8,138.55 = 5,407.71/x
  3. Step 3: Cross multiply
    5,462.34x = 8,138.55 × 5,407.71
  4. Step 4: Simplify right side
    5,462.34x = 44,010,918.22
  5. Step 5: Solve for x
    x = 44,010,918.22/5,462.34
  6. Step 6: Final answer
    x = 8,057.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.