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Finding the Fourth Proportional to 9,987.87, 13,770.45 and 8,188.74

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Solution

The fourth proportional to 9,987.87, 13,770.45 and 8,188.74 is: 11,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.87 : 13,770.45 = 8,188.74 : x
  2. Step 2: Convert to fraction form
    9,987.87/13,770.45 = 8,188.74/x
  3. Step 3: Cross multiply
    9,987.87x = 13,770.45 × 8,188.74
  4. Step 4: Simplify right side
    9,987.87x = 112,762,634.73
  5. Step 5: Solve for x
    x = 112,762,634.73/9,987.87
  6. Step 6: Final answer
    x = 11,289.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.