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Finding the Fourth Proportional to 7,083.20, 9,775.20 and 3,939.20

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Solution

The fourth proportional to 7,083.20, 9,775.20 and 3,939.20 is: 5,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.20 : 9,775.20 = 3,939.20 : x
  2. Step 2: Convert to fraction form
    7,083.20/9,775.20 = 3,939.20/x
  3. Step 3: Cross multiply
    7,083.20x = 9,775.20 × 3,939.20
  4. Step 4: Simplify right side
    7,083.20x = 38,506,467.84
  5. Step 5: Solve for x
    x = 38,506,467.84/7,083.20
  6. Step 6: Final answer
    x = 5,436.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.