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Finding the Fourth Proportional to 1,433.80, 2,147.08 and 912.20

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Solution

The fourth proportional to 1,433.80, 2,147.08 and 912.20 is: 1,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.80 : 2,147.08 = 912.20 : x
  2. Step 2: Convert to fraction form
    1,433.80/2,147.08 = 912.20/x
  3. Step 3: Cross multiply
    1,433.80x = 2,147.08 × 912.20
  4. Step 4: Simplify right side
    1,433.80x = 1,958,566.38
  5. Step 5: Solve for x
    x = 1,958,566.38/1,433.80
  6. Step 6: Final answer
    x = 1,366.00

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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.