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Finding the Fourth Proportional to 5,281.30, 7,920.79 and 1,583.80

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Solution

The fourth proportional to 5,281.30, 7,920.79 and 1,583.80 is: 2,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.30 : 7,920.79 = 1,583.80 : x
  2. Step 2: Convert to fraction form
    5,281.30/7,920.79 = 1,583.80/x
  3. Step 3: Cross multiply
    5,281.30x = 7,920.79 × 1,583.80
  4. Step 4: Simplify right side
    5,281.30x = 12,544,967.99
  5. Step 5: Solve for x
    x = 12,544,967.99/5,281.30
  6. Step 6: Final answer
    x = 2,375.36

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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.