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Finding the Fourth Proportional to 5,289.11, 7,934.18 and 1,958.24

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Solution

The fourth proportional to 5,289.11, 7,934.18 and 1,958.24 is: 2,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.11 : 7,934.18 = 1,958.24 : x
  2. Step 2: Convert to fraction form
    5,289.11/7,934.18 = 1,958.24/x
  3. Step 3: Cross multiply
    5,289.11x = 7,934.18 × 1,958.24
  4. Step 4: Simplify right side
    5,289.11x = 15,537,053.37
  5. Step 5: Solve for x
    x = 15,537,053.37/5,289.11
  6. Step 6: Final answer
    x = 2,937.56

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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.