Home / 1,581.46-2,370.50-802.04

Finding the Fourth Proportional to 1,581.46, 2,370.50 and 802.04

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Solution

The fourth proportional to 1,581.46, 2,370.50 and 802.04 is: 1,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.46 : 2,370.50 = 802.04 : x
  2. Step 2: Convert to fraction form
    1,581.46/2,370.50 = 802.04/x
  3. Step 3: Cross multiply
    1,581.46x = 2,370.50 × 802.04
  4. Step 4: Simplify right side
    1,581.46x = 1,901,222.96
  5. Step 5: Solve for x
    x = 1,901,222.96/1,581.46
  6. Step 6: Final answer
    x = 1,202.20

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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.