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Finding the Fourth Proportional to 2,947.93, 4,427.16 and 2,713.21

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Solution

The fourth proportional to 2,947.93, 4,427.16 and 2,713.21 is: 4,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.93 : 4,427.16 = 2,713.21 : x
  2. Step 2: Convert to fraction form
    2,947.93/4,427.16 = 2,713.21/x
  3. Step 3: Cross multiply
    2,947.93x = 4,427.16 × 2,713.21
  4. Step 4: Simplify right side
    2,947.93x = 12,011,814.78
  5. Step 5: Solve for x
    x = 12,011,814.78/2,947.93
  6. Step 6: Final answer
    x = 4,074.66

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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.