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Finding the Fourth Proportional to 4,947.83, 7,421.97 and 2,754.91

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Solution

The fourth proportional to 4,947.83, 7,421.97 and 2,754.91 is: 4,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.83 : 7,421.97 = 2,754.91 : x
  2. Step 2: Convert to fraction form
    4,947.83/7,421.97 = 2,754.91/x
  3. Step 3: Cross multiply
    4,947.83x = 7,421.97 × 2,754.91
  4. Step 4: Simplify right side
    4,947.83x = 20,446,837.23
  5. Step 5: Solve for x
    x = 20,446,837.23/4,947.83
  6. Step 6: Final answer
    x = 4,132.49

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1.5x scale

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.