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Finding the Fourth Proportional to 1,426.17, 2,138.04 and 559.92

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Solution

The fourth proportional to 1,426.17, 2,138.04 and 559.92 is: 839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.17 : 2,138.04 = 559.92 : x
  2. Step 2: Convert to fraction form
    1,426.17/2,138.04 = 559.92/x
  3. Step 3: Cross multiply
    1,426.17x = 2,138.04 × 559.92
  4. Step 4: Simplify right side
    1,426.17x = 1,197,131.36
  5. Step 5: Solve for x
    x = 1,197,131.36/1,426.17
  6. Step 6: Final answer
    x = 839.40

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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.