Home / 1,450.65-2,001.87-821.17

Finding the Fourth Proportional to 1,450.65, 2,001.87 and 821.17

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Solution

The fourth proportional to 1,450.65, 2,001.87 and 821.17 is: 1,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.65 : 2,001.87 = 821.17 : x
  2. Step 2: Convert to fraction form
    1,450.65/2,001.87 = 821.17/x
  3. Step 3: Cross multiply
    1,450.65x = 2,001.87 × 821.17
  4. Step 4: Simplify right side
    1,450.65x = 1,643,861.47
  5. Step 5: Solve for x
    x = 1,643,861.47/1,450.65
  6. Step 6: Final answer
    x = 1,133.19

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1.5x scale

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.