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Finding the Fourth Proportional to 1,708, 2,560.38 and 1,341.88

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Solution

The fourth proportional to 1,708, 2,560.38 and 1,341.88 is: 2,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708 : 2,560.38 = 1,341.88 : x
  2. Step 2: Convert to fraction form
    1,708/2,560.38 = 1,341.88/x
  3. Step 3: Cross multiply
    1,708x = 2,560.38 × 1,341.88
  4. Step 4: Simplify right side
    1,708x = 3,435,722.71
  5. Step 5: Solve for x
    x = 3,435,722.71/1,708
  6. Step 6: Final answer
    x = 2,011.55

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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.