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Finding the Fourth Proportional to 6,648.12, 9,977.30 and 2,491.20

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Solution

The fourth proportional to 6,648.12, 9,977.30 and 2,491.20 is: 3,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.12 : 9,977.30 = 2,491.20 : x
  2. Step 2: Convert to fraction form
    6,648.12/9,977.30 = 2,491.20/x
  3. Step 3: Cross multiply
    6,648.12x = 9,977.30 × 2,491.20
  4. Step 4: Simplify right side
    6,648.12x = 24,855,449.76
  5. Step 5: Solve for x
    x = 24,855,449.76/6,648.12
  6. Step 6: Final answer
    x = 3,738.72

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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.