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Finding the Fourth Proportional to 2,362.26, 3,543.04 and 802.24

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Solution

The fourth proportional to 2,362.26, 3,543.04 and 802.24 is: 1,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.26 : 3,543.04 = 802.24 : x
  2. Step 2: Convert to fraction form
    2,362.26/3,543.04 = 802.24/x
  3. Step 3: Cross multiply
    2,362.26x = 3,543.04 × 802.24
  4. Step 4: Simplify right side
    2,362.26x = 2,842,368.41
  5. Step 5: Solve for x
    x = 2,842,368.41/2,362.26
  6. Step 6: Final answer
    x = 1,203.24

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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.