Home / 1,657.18-2,482.46-961.80

Finding the Fourth Proportional to 1,657.18, 2,482.46 and 961.80

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Solution

The fourth proportional to 1,657.18, 2,482.46 and 961.80 is: 1,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.18 : 2,482.46 = 961.80 : x
  2. Step 2: Convert to fraction form
    1,657.18/2,482.46 = 961.80/x
  3. Step 3: Cross multiply
    1,657.18x = 2,482.46 × 961.80
  4. Step 4: Simplify right side
    1,657.18x = 2,387,630.03
  5. Step 5: Solve for x
    x = 2,387,630.03/1,657.18
  6. Step 6: Final answer
    x = 1,440.78

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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.