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Finding the Fourth Proportional to 9,184.80, 13,780.08 and 5,491.20

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Solution

The fourth proportional to 9,184.80, 13,780.08 and 5,491.20 is: 8,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.80 : 13,780.08 = 5,491.20 : x
  2. Step 2: Convert to fraction form
    9,184.80/13,780.08 = 5,491.20/x
  3. Step 3: Cross multiply
    9,184.80x = 13,780.08 × 5,491.20
  4. Step 4: Simplify right side
    9,184.80x = 75,669,175.30
  5. Step 5: Solve for x
    x = 75,669,175.30/9,184.80
  6. Step 6: Final answer
    x = 8,238.52

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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.