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Finding the Fourth Proportional to 8,191.98, 12,281.49 and 5,107.50

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Solution

The fourth proportional to 8,191.98, 12,281.49 and 5,107.50 is: 7,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.98 : 12,281.49 = 5,107.50 : x
  2. Step 2: Convert to fraction form
    8,191.98/12,281.49 = 5,107.50/x
  3. Step 3: Cross multiply
    8,191.98x = 12,281.49 × 5,107.50
  4. Step 4: Simplify right side
    8,191.98x = 62,727,710.18
  5. Step 5: Solve for x
    x = 62,727,710.18/8,191.98
  6. Step 6: Final answer
    x = 7,657.21

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1.5x scale

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.