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Finding the Fourth Proportional to 5,374.54, 8,061.81 and 1,478.98

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Solution

The fourth proportional to 5,374.54, 8,061.81 and 1,478.98 is: 2,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.54 : 8,061.81 = 1,478.98 : x
  2. Step 2: Convert to fraction form
    5,374.54/8,061.81 = 1,478.98/x
  3. Step 3: Cross multiply
    5,374.54x = 8,061.81 × 1,478.98
  4. Step 4: Simplify right side
    5,374.54x = 11,923,255.75
  5. Step 5: Solve for x
    x = 11,923,255.75/5,374.54
  6. Step 6: Final answer
    x = 2,218.47

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Why These Related Problems?

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