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Finding the Fourth Proportional to 2,922.75, 4,383.08 and 947.90

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Solution

The fourth proportional to 2,922.75, 4,383.08 and 947.90 is: 1,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.75 : 4,383.08 = 947.90 : x
  2. Step 2: Convert to fraction form
    2,922.75/4,383.08 = 947.90/x
  3. Step 3: Cross multiply
    2,922.75x = 4,383.08 × 947.90
  4. Step 4: Simplify right side
    2,922.75x = 4,154,734.86
  5. Step 5: Solve for x
    x = 4,154,734.86/2,922.75
  6. Step 6: Final answer
    x = 1,421.52

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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.