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Finding the Fourth Proportional to 5,874.60, 8,102.70 and 4,989

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Solution

The fourth proportional to 5,874.60, 8,102.70 and 4,989 is: 6,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.60 : 8,102.70 = 4,989 : x
  2. Step 2: Convert to fraction form
    5,874.60/8,102.70 = 4,989/x
  3. Step 3: Cross multiply
    5,874.60x = 8,102.70 × 4,989
  4. Step 4: Simplify right side
    5,874.60x = 40,424,370.30
  5. Step 5: Solve for x
    x = 40,424,370.30/5,874.60
  6. Step 6: Final answer
    x = 6,881.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.