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Finding the Fourth Proportional to 5,872.40, 8,815.08 and 4,647.68

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Solution

The fourth proportional to 5,872.40, 8,815.08 and 4,647.68 is: 6,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.40 : 8,815.08 = 4,647.68 : x
  2. Step 2: Convert to fraction form
    5,872.40/8,815.08 = 4,647.68/x
  3. Step 3: Cross multiply
    5,872.40x = 8,815.08 × 4,647.68
  4. Step 4: Simplify right side
    5,872.40x = 40,969,671.01
  5. Step 5: Solve for x
    x = 40,969,671.01/5,872.40
  6. Step 6: Final answer
    x = 6,976.65

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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.