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Finding the Fourth Proportional to 1,429, 2,127.89 and 1,376.46

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Solution

The fourth proportional to 1,429, 2,127.89 and 1,376.46 is: 2,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429 : 2,127.89 = 1,376.46 : x
  2. Step 2: Convert to fraction form
    1,429/2,127.89 = 1,376.46/x
  3. Step 3: Cross multiply
    1,429x = 2,127.89 × 1,376.46
  4. Step 4: Simplify right side
    1,429x = 2,928,937.95
  5. Step 5: Solve for x
    x = 2,928,937.95/1,429
  6. Step 6: Final answer
    x = 2,049.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.