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Finding the Fourth Proportional to 2,362.54, 3,544.31 and 802.47

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Solution

The fourth proportional to 2,362.54, 3,544.31 and 802.47 is: 1,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.54 : 3,544.31 = 802.47 : x
  2. Step 2: Convert to fraction form
    2,362.54/3,544.31 = 802.47/x
  3. Step 3: Cross multiply
    2,362.54x = 3,544.31 × 802.47
  4. Step 4: Simplify right side
    2,362.54x = 2,844,202.45
  5. Step 5: Solve for x
    x = 2,844,202.45/2,362.54
  6. Step 6: Final answer
    x = 1,203.87

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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.