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Finding the Fourth Proportional to 8,266.40, 12,400.20 and 4,972.40

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Solution

The fourth proportional to 8,266.40, 12,400.20 and 4,972.40 is: 7,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.40 : 12,400.20 = 4,972.40 : x
  2. Step 2: Convert to fraction form
    8,266.40/12,400.20 = 4,972.40/x
  3. Step 3: Cross multiply
    8,266.40x = 12,400.20 × 4,972.40
  4. Step 4: Simplify right side
    8,266.40x = 61,658,754.48
  5. Step 5: Solve for x
    x = 61,658,754.48/8,266.40
  6. Step 6: Final answer
    x = 7,458.96

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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.