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Finding the Fourth Proportional to 2,919.82, 4,379.76 and 972.02

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Solution

The fourth proportional to 2,919.82, 4,379.76 and 972.02 is: 1,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.82 : 4,379.76 = 972.02 : x
  2. Step 2: Convert to fraction form
    2,919.82/4,379.76 = 972.02/x
  3. Step 3: Cross multiply
    2,919.82x = 4,379.76 × 972.02
  4. Step 4: Simplify right side
    2,919.82x = 4,257,187.56
  5. Step 5: Solve for x
    x = 4,257,187.56/2,919.82
  6. Step 6: Final answer
    x = 1,458.03

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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.