Home / 1,624.80-2,242.08-961.65

Finding the Fourth Proportional to 1,624.80, 2,242.08 and 961.65

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Solution

The fourth proportional to 1,624.80, 2,242.08 and 961.65 is: 1,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.80 : 2,242.08 = 961.65 : x
  2. Step 2: Convert to fraction form
    1,624.80/2,242.08 = 961.65/x
  3. Step 3: Cross multiply
    1,624.80x = 2,242.08 × 961.65
  4. Step 4: Simplify right side
    1,624.80x = 2,156,096.23
  5. Step 5: Solve for x
    x = 2,156,096.23/1,624.80
  6. Step 6: Final answer
    x = 1,326.99

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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.