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Finding the Fourth Proportional to 5,230, 7,843.80 and 1,531.32

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Solution

The fourth proportional to 5,230, 7,843.80 and 1,531.32 is: 2,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 7,843.80 = 1,531.32 : x
  2. Step 2: Convert to fraction form
    5,230/7,843.80 = 1,531.32/x
  3. Step 3: Cross multiply
    5,230x = 7,843.80 × 1,531.32
  4. Step 4: Simplify right side
    5,230x = 12,011,367.82
  5. Step 5: Solve for x
    x = 12,011,367.82/5,230
  6. Step 6: Final answer
    x = 2,296.63

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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.