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Finding the Fourth Proportional to 14,647.80, 21,947.40 and 12,169.20

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Solution

The fourth proportional to 14,647.80, 21,947.40 and 12,169.20 is: 18,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.80 : 21,947.40 = 12,169.20 : x
  2. Step 2: Convert to fraction form
    14,647.80/21,947.40 = 12,169.20/x
  3. Step 3: Cross multiply
    14,647.80x = 21,947.40 × 12,169.20
  4. Step 4: Simplify right side
    14,647.80x = 267,082,300.08
  5. Step 5: Solve for x
    x = 267,082,300.08/14,647.80
  6. Step 6: Final answer
    x = 18,233.61

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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.