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Finding the Fourth Proportional to 8,297.10, 12,437.55 and 7,422.30

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Solution

The fourth proportional to 8,297.10, 12,437.55 and 7,422.30 is: 11,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.10 : 12,437.55 = 7,422.30 : x
  2. Step 2: Convert to fraction form
    8,297.10/12,437.55 = 7,422.30/x
  3. Step 3: Cross multiply
    8,297.10x = 12,437.55 × 7,422.30
  4. Step 4: Simplify right side
    8,297.10x = 92,315,227.37
  5. Step 5: Solve for x
    x = 92,315,227.37/8,297.10
  6. Step 6: Final answer
    x = 11,126.20

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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.