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Finding the Fourth Proportional to 2,656.10, 3,982.80 and 1,560.80

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Solution

The fourth proportional to 2,656.10, 3,982.80 and 1,560.80 is: 2,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.10 : 3,982.80 = 1,560.80 : x
  2. Step 2: Convert to fraction form
    2,656.10/3,982.80 = 1,560.80/x
  3. Step 3: Cross multiply
    2,656.10x = 3,982.80 × 1,560.80
  4. Step 4: Simplify right side
    2,656.10x = 6,216,354.24
  5. Step 5: Solve for x
    x = 6,216,354.24/2,656.10
  6. Step 6: Final answer
    x = 2,340.41

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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.