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Finding the Fourth Proportional to 8,774.40, 13,145.40 and 8,191.20

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Solution

The fourth proportional to 8,774.40, 13,145.40 and 8,191.20 is: 12,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.40 : 13,145.40 = 8,191.20 : x
  2. Step 2: Convert to fraction form
    8,774.40/13,145.40 = 8,191.20/x
  3. Step 3: Cross multiply
    8,774.40x = 13,145.40 × 8,191.20
  4. Step 4: Simplify right side
    8,774.40x = 107,676,600.48
  5. Step 5: Solve for x
    x = 107,676,600.48/8,774.40
  6. Step 6: Final answer
    x = 12,271.68

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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.