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Finding the Fourth Proportional to 2,341.71, 3,512.70 and 955.80

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Solution

The fourth proportional to 2,341.71, 3,512.70 and 955.80 is: 1,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.71 : 3,512.70 = 955.80 : x
  2. Step 2: Convert to fraction form
    2,341.71/3,512.70 = 955.80/x
  3. Step 3: Cross multiply
    2,341.71x = 3,512.70 × 955.80
  4. Step 4: Simplify right side
    2,341.71x = 3,357,438.66
  5. Step 5: Solve for x
    x = 3,357,438.66/2,341.71
  6. Step 6: Final answer
    x = 1,433.76

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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.