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Finding the Fourth Proportional to 1,708.82, 2,560.68 and 1,402.82

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Solution

The fourth proportional to 1,708.82, 2,560.68 and 1,402.82 is: 2,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.82 : 2,560.68 = 1,402.82 : x
  2. Step 2: Convert to fraction form
    1,708.82/2,560.68 = 1,402.82/x
  3. Step 3: Cross multiply
    1,708.82x = 2,560.68 × 1,402.82
  4. Step 4: Simplify right side
    1,708.82x = 3,592,173.12
  5. Step 5: Solve for x
    x = 3,592,173.12/1,708.82
  6. Step 6: Final answer
    x = 2,102.14

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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.