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Finding the Fourth Proportional to 5,314.89, 7,972.34 and 4,386.45

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Solution

The fourth proportional to 5,314.89, 7,972.34 and 4,386.45 is: 6,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.89 : 7,972.34 = 4,386.45 : x
  2. Step 2: Convert to fraction form
    5,314.89/7,972.34 = 4,386.45/x
  3. Step 3: Cross multiply
    5,314.89x = 7,972.34 × 4,386.45
  4. Step 4: Simplify right side
    5,314.89x = 34,970,248.86
  5. Step 5: Solve for x
    x = 34,970,248.86/5,314.89
  6. Step 6: Final answer
    x = 6,579.68

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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.