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Finding the Fourth Proportional to 12,047.32, 18,069.14 and 4,255

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Solution

The fourth proportional to 12,047.32, 18,069.14 and 4,255 is: 6,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.32 : 18,069.14 = 4,255 : x
  2. Step 2: Convert to fraction form
    12,047.32/18,069.14 = 4,255/x
  3. Step 3: Cross multiply
    12,047.32x = 18,069.14 × 4,255
  4. Step 4: Simplify right side
    12,047.32x = 76,884,190.70
  5. Step 5: Solve for x
    x = 76,884,190.70/12,047.32
  6. Step 6: Final answer
    x = 6,381.85

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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.