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Finding the Fourth Proportional to 5,239.91, 7,854.91 and 1,950.77

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Solution

The fourth proportional to 5,239.91, 7,854.91 and 1,950.77 is: 2,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.91 : 7,854.91 = 1,950.77 : x
  2. Step 2: Convert to fraction form
    5,239.91/7,854.91 = 1,950.77/x
  3. Step 3: Cross multiply
    5,239.91x = 7,854.91 × 1,950.77
  4. Step 4: Simplify right side
    5,239.91x = 15,323,122.78
  5. Step 5: Solve for x
    x = 15,323,122.78/5,239.91
  6. Step 6: Final answer
    x = 2,924.31

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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.