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Finding the Fourth Proportional to 7,887, 11,830.50 and 4,424.52

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Solution

The fourth proportional to 7,887, 11,830.50 and 4,424.52 is: 6,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887 : 11,830.50 = 4,424.52 : x
  2. Step 2: Convert to fraction form
    7,887/11,830.50 = 4,424.52/x
  3. Step 3: Cross multiply
    7,887x = 11,830.50 × 4,424.52
  4. Step 4: Simplify right side
    7,887x = 52,344,283.86
  5. Step 5: Solve for x
    x = 52,344,283.86/7,887
  6. Step 6: Final answer
    x = 6,636.78

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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.