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Finding the Fourth Proportional to 3,193.83, 4,789.50 and 972.18

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Solution

The fourth proportional to 3,193.83, 4,789.50 and 972.18 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.83 : 4,789.50 = 972.18 : x
  2. Step 2: Convert to fraction form
    3,193.83/4,789.50 = 972.18/x
  3. Step 3: Cross multiply
    3,193.83x = 4,789.50 × 972.18
  4. Step 4: Simplify right side
    3,193.83x = 4,656,256.11
  5. Step 5: Solve for x
    x = 4,656,256.11/3,193.83
  6. Step 6: Final answer
    x = 1,457.89

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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.