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Finding the Fourth Proportional to 2,827.71, 4,240.70 and 1,955.81

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Solution

The fourth proportional to 2,827.71, 4,240.70 and 1,955.81 is: 2,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.71 : 4,240.70 = 1,955.81 : x
  2. Step 2: Convert to fraction form
    2,827.71/4,240.70 = 1,955.81/x
  3. Step 3: Cross multiply
    2,827.71x = 4,240.70 × 1,955.81
  4. Step 4: Simplify right side
    2,827.71x = 8,294,003.47
  5. Step 5: Solve for x
    x = 8,294,003.47/2,827.71
  6. Step 6: Final answer
    x = 2,933.12

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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.