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Finding the Fourth Proportional to 1,828, 2,742.24 and 802.24

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Solution

The fourth proportional to 1,828, 2,742.24 and 802.24 is: 1,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828 : 2,742.24 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,828/2,742.24 = 802.24/x
  3. Step 3: Cross multiply
    1,828x = 2,742.24 × 802.24
  4. Step 4: Simplify right side
    1,828x = 2,199,934.62
  5. Step 5: Solve for x
    x = 2,199,934.62/1,828
  6. Step 6: Final answer
    x = 1,203.47

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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.