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Finding the Fourth Proportional to 2,761.60, 4,142.40 and 1,665.40

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Solution

The fourth proportional to 2,761.60, 4,142.40 and 1,665.40 is: 2,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.60 : 4,142.40 = 1,665.40 : x
  2. Step 2: Convert to fraction form
    2,761.60/4,142.40 = 1,665.40/x
  3. Step 3: Cross multiply
    2,761.60x = 4,142.40 × 1,665.40
  4. Step 4: Simplify right side
    2,761.60x = 6,898,752.96
  5. Step 5: Solve for x
    x = 6,898,752.96/2,761.60
  6. Step 6: Final answer
    x = 2,498.10

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1.5x scale

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.