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Finding the Fourth Proportional to 5,874.10, 8,115.51 and 5,407.54

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Solution

The fourth proportional to 5,874.10, 8,115.51 and 5,407.54 is: 7,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.10 : 8,115.51 = 5,407.54 : x
  2. Step 2: Convert to fraction form
    5,874.10/8,115.51 = 5,407.54/x
  3. Step 3: Cross multiply
    5,874.10x = 8,115.51 × 5,407.54
  4. Step 4: Simplify right side
    5,874.10x = 43,884,944.95
  5. Step 5: Solve for x
    x = 43,884,944.95/5,874.10
  6. Step 6: Final answer
    x = 7,470.92

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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.