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Finding the Fourth Proportional to 4,991.91, 7,488.31 and 1,294.12

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Solution

The fourth proportional to 4,991.91, 7,488.31 and 1,294.12 is: 1,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.91 : 7,488.31 = 1,294.12 : x
  2. Step 2: Convert to fraction form
    4,991.91/7,488.31 = 1,294.12/x
  3. Step 3: Cross multiply
    4,991.91x = 7,488.31 × 1,294.12
  4. Step 4: Simplify right side
    4,991.91x = 9,690,771.74
  5. Step 5: Solve for x
    x = 9,690,771.74/4,991.91
  6. Step 6: Final answer
    x = 1,941.30

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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.