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Finding the Fourth Proportional to 2,881.47, 3,976.33 and 1,762.46

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Solution

The fourth proportional to 2,881.47, 3,976.33 and 1,762.46 is: 2,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.47 : 3,976.33 = 1,762.46 : x
  2. Step 2: Convert to fraction form
    2,881.47/3,976.33 = 1,762.46/x
  3. Step 3: Cross multiply
    2,881.47x = 3,976.33 × 1,762.46
  4. Step 4: Simplify right side
    2,881.47x = 7,008,122.57
  5. Step 5: Solve for x
    x = 7,008,122.57/2,881.47
  6. Step 6: Final answer
    x = 2,432.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.