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Finding the Fourth Proportional to 26,970.12, 40,455.30 and 8,250.12

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Solution

The fourth proportional to 26,970.12, 40,455.30 and 8,250.12 is: 12,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.12 : 40,455.30 = 8,250.12 : x
  2. Step 2: Convert to fraction form
    26,970.12/40,455.30 = 8,250.12/x
  3. Step 3: Cross multiply
    26,970.12x = 40,455.30 × 8,250.12
  4. Step 4: Simplify right side
    26,970.12x = 333,761,079.64
  5. Step 5: Solve for x
    x = 333,761,079.64/26,970.12
  6. Step 6: Final answer
    x = 12,375.22

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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.