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Finding the Fourth Proportional to 5,374.60, 8,061.90 and 4,078.60

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Solution

The fourth proportional to 5,374.60, 8,061.90 and 4,078.60 is: 6,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.60 : 8,061.90 = 4,078.60 : x
  2. Step 2: Convert to fraction form
    5,374.60/8,061.90 = 4,078.60/x
  3. Step 3: Cross multiply
    5,374.60x = 8,061.90 × 4,078.60
  4. Step 4: Simplify right side
    5,374.60x = 32,881,265.34
  5. Step 5: Solve for x
    x = 32,881,265.34/5,374.60
  6. Step 6: Final answer
    x = 6,117.90

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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.