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Finding the Fourth Proportional to 2,088, 2,882.52 and 1,425.78

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Solution

The fourth proportional to 2,088, 2,882.52 and 1,425.78 is: 1,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088 : 2,882.52 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    2,088/2,882.52 = 1,425.78/x
  3. Step 3: Cross multiply
    2,088x = 2,882.52 × 1,425.78
  4. Step 4: Simplify right side
    2,088x = 4,109,839.37
  5. Step 5: Solve for x
    x = 4,109,839.37/2,088
  6. Step 6: Final answer
    x = 1,968.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.