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Finding the Fourth Proportional to 5,281.65, 7,922.88 and 1,583.61

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Solution

The fourth proportional to 5,281.65, 7,922.88 and 1,583.61 is: 2,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.65 : 7,922.88 = 1,583.61 : x
  2. Step 2: Convert to fraction form
    5,281.65/7,922.88 = 1,583.61/x
  3. Step 3: Cross multiply
    5,281.65x = 7,922.88 × 1,583.61
  4. Step 4: Simplify right side
    5,281.65x = 12,546,752.00
  5. Step 5: Solve for x
    x = 12,546,752.00/5,281.65
  6. Step 6: Final answer
    x = 2,375.54

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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.