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Finding the Fourth Proportional to 2,560.84, 3,534 and 1,512.90

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Solution

The fourth proportional to 2,560.84, 3,534 and 1,512.90 is: 2,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.84 : 3,534 = 1,512.90 : x
  2. Step 2: Convert to fraction form
    2,560.84/3,534 = 1,512.90/x
  3. Step 3: Cross multiply
    2,560.84x = 3,534 × 1,512.90
  4. Step 4: Simplify right side
    2,560.84x = 5,346,579.77
  5. Step 5: Solve for x
    x = 5,346,579.77/2,560.84
  6. Step 6: Final answer
    x = 2,087.83

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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.