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Finding the Fourth Proportional to 2,956, 4,078.02 and 1,947.40

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Solution

The fourth proportional to 2,956, 4,078.02 and 1,947.40 is: 2,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956 : 4,078.02 = 1,947.40 : x
  2. Step 2: Convert to fraction form
    2,956/4,078.02 = 1,947.40/x
  3. Step 3: Cross multiply
    2,956x = 4,078.02 × 1,947.40
  4. Step 4: Simplify right side
    2,956x = 7,941,536.15
  5. Step 5: Solve for x
    x = 7,941,536.15/2,956
  6. Step 6: Final answer
    x = 2,686.58

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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.