Home / 1,581.57-2,373.79-802.11

Finding the Fourth Proportional to 1,581.57, 2,373.79 and 802.11

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Solution

The fourth proportional to 1,581.57, 2,373.79 and 802.11 is: 1,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.57 : 2,373.79 = 802.11 : x
  2. Step 2: Convert to fraction form
    1,581.57/2,373.79 = 802.11/x
  3. Step 3: Cross multiply
    1,581.57x = 2,373.79 × 802.11
  4. Step 4: Simplify right side
    1,581.57x = 1,904,040.70
  5. Step 5: Solve for x
    x = 1,904,040.70/1,581.57
  6. Step 6: Final answer
    x = 1,203.89

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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.