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Finding the Fourth Proportional to 1,418.47, 2,127.70 and 378.47

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Solution

The fourth proportional to 1,418.47, 2,127.70 and 378.47 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.47 : 2,127.70 = 378.47 : x
  2. Step 2: Convert to fraction form
    1,418.47/2,127.70 = 378.47/x
  3. Step 3: Cross multiply
    1,418.47x = 2,127.70 × 378.47
  4. Step 4: Simplify right side
    1,418.47x = 805,279.19
  5. Step 5: Solve for x
    x = 805,279.19/1,418.47
  6. Step 6: Final answer
    x = 567.71

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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.