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Finding the Fourth Proportional to 8,266.80, 12,400.20 and 4,978.20

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Solution

The fourth proportional to 8,266.80, 12,400.20 and 4,978.20 is: 7,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.80 : 12,400.20 = 4,978.20 : x
  2. Step 2: Convert to fraction form
    8,266.80/12,400.20 = 4,978.20/x
  3. Step 3: Cross multiply
    8,266.80x = 12,400.20 × 4,978.20
  4. Step 4: Simplify right side
    8,266.80x = 61,730,675.64
  5. Step 5: Solve for x
    x = 61,730,675.64/8,266.80
  6. Step 6: Final answer
    x = 7,467.30

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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.