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Finding the Fourth Proportional to 2,141.96, 2,955.80 and 1,197.87

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Solution

The fourth proportional to 2,141.96, 2,955.80 and 1,197.87 is: 1,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.96 : 2,955.80 = 1,197.87 : x
  2. Step 2: Convert to fraction form
    2,141.96/2,955.80 = 1,197.87/x
  3. Step 3: Cross multiply
    2,141.96x = 2,955.80 × 1,197.87
  4. Step 4: Simplify right side
    2,141.96x = 3,540,658.16
  5. Step 5: Solve for x
    x = 3,540,658.16/2,141.96
  6. Step 6: Final answer
    x = 1,653.00

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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.