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Finding the Fourth Proportional to 5,339.86, 8,011.23 and 4,825.78

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Solution

The fourth proportional to 5,339.86, 8,011.23 and 4,825.78 is: 7,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.86 : 8,011.23 = 4,825.78 : x
  2. Step 2: Convert to fraction form
    5,339.86/8,011.23 = 4,825.78/x
  3. Step 3: Cross multiply
    5,339.86x = 8,011.23 × 4,825.78
  4. Step 4: Simplify right side
    5,339.86x = 38,660,433.51
  5. Step 5: Solve for x
    x = 38,660,433.51/5,339.86
  6. Step 6: Final answer
    x = 7,239.97

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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.