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Finding the Fourth Proportional to 1,762.71, 2,432.42 and 976.71

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Solution

The fourth proportional to 1,762.71, 2,432.42 and 976.71 is: 1,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.71 : 2,432.42 = 976.71 : x
  2. Step 2: Convert to fraction form
    1,762.71/2,432.42 = 976.71/x
  3. Step 3: Cross multiply
    1,762.71x = 2,432.42 × 976.71
  4. Step 4: Simplify right side
    1,762.71x = 2,375,764.05
  5. Step 5: Solve for x
    x = 2,375,764.05/1,762.71
  6. Step 6: Final answer
    x = 1,347.79

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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.