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Finding the Fourth Proportional to 8,261.06, 12,393 and 4,101.30

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Solution

The fourth proportional to 8,261.06, 12,393 and 4,101.30 is: 6,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.06 : 12,393 = 4,101.30 : x
  2. Step 2: Convert to fraction form
    8,261.06/12,393 = 4,101.30/x
  3. Step 3: Cross multiply
    8,261.06x = 12,393 × 4,101.30
  4. Step 4: Simplify right side
    8,261.06x = 50,827,410.90
  5. Step 5: Solve for x
    x = 50,827,410.90/8,261.06
  6. Step 6: Final answer
    x = 6,152.65

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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.