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Finding the Fourth Proportional to 8,263, 12,394.50 and 5,187.16

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Solution

The fourth proportional to 8,263, 12,394.50 and 5,187.16 is: 7,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263 : 12,394.50 = 5,187.16 : x
  2. Step 2: Convert to fraction form
    8,263/12,394.50 = 5,187.16/x
  3. Step 3: Cross multiply
    8,263x = 12,394.50 × 5,187.16
  4. Step 4: Simplify right side
    8,263x = 64,292,254.62
  5. Step 5: Solve for x
    x = 64,292,254.62/8,263
  6. Step 6: Final answer
    x = 7,780.74

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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.