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Finding the Fourth Proportional to 1,426.47, 2,139.84 and 452.72

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Solution

The fourth proportional to 1,426.47, 2,139.84 and 452.72 is: 679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.47 : 2,139.84 = 452.72 : x
  2. Step 2: Convert to fraction form
    1,426.47/2,139.84 = 452.72/x
  3. Step 3: Cross multiply
    1,426.47x = 2,139.84 × 452.72
  4. Step 4: Simplify right side
    1,426.47x = 968,735.40
  5. Step 5: Solve for x
    x = 968,735.40/1,426.47
  6. Step 6: Final answer
    x = 679.11

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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.