Home / 1,645.65-2,470.23-1,580.04

Finding the Fourth Proportional to 1,645.65, 2,470.23 and 1,580.04

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Solution

The fourth proportional to 1,645.65, 2,470.23 and 1,580.04 is: 2,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.65 : 2,470.23 = 1,580.04 : x
  2. Step 2: Convert to fraction form
    1,645.65/2,470.23 = 1,580.04/x
  3. Step 3: Cross multiply
    1,645.65x = 2,470.23 × 1,580.04
  4. Step 4: Simplify right side
    1,645.65x = 3,903,062.21
  5. Step 5: Solve for x
    x = 3,903,062.21/1,645.65
  6. Step 6: Final answer
    x = 2,371.75

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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.