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Finding the Fourth Proportional to 2,970.96, 4,099.80 and 1,791.40

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Solution

The fourth proportional to 2,970.96, 4,099.80 and 1,791.40 is: 2,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.96 : 4,099.80 = 1,791.40 : x
  2. Step 2: Convert to fraction form
    2,970.96/4,099.80 = 1,791.40/x
  3. Step 3: Cross multiply
    2,970.96x = 4,099.80 × 1,791.40
  4. Step 4: Simplify right side
    2,970.96x = 7,344,381.72
  5. Step 5: Solve for x
    x = 7,344,381.72/2,970.96
  6. Step 6: Final answer
    x = 2,472.06

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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.