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Finding the Fourth Proportional to 12,191.85, 16,823.88 and 7,156.28

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Solution

The fourth proportional to 12,191.85, 16,823.88 and 7,156.28 is: 9,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.85 : 16,823.88 = 7,156.28 : x
  2. Step 2: Convert to fraction form
    12,191.85/16,823.88 = 7,156.28/x
  3. Step 3: Cross multiply
    12,191.85x = 16,823.88 × 7,156.28
  4. Step 4: Simplify right side
    12,191.85x = 120,396,311.85
  5. Step 5: Solve for x
    x = 120,396,311.85/12,191.85
  6. Step 6: Final answer
    x = 9,875.15

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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.