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Finding the Fourth Proportional to 5,239.52, 7,852.05 and 3,853.61

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Solution

The fourth proportional to 5,239.52, 7,852.05 and 3,853.61 is: 5,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.52 : 7,852.05 = 3,853.61 : x
  2. Step 2: Convert to fraction form
    5,239.52/7,852.05 = 3,853.61/x
  3. Step 3: Cross multiply
    5,239.52x = 7,852.05 × 3,853.61
  4. Step 4: Simplify right side
    5,239.52x = 30,258,699.14
  5. Step 5: Solve for x
    x = 30,258,699.14/5,239.52
  6. Step 6: Final answer
    x = 5,775.10

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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.