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Finding the Fourth Proportional to 5,047.62, 6,965.02 and 2,809.20

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Solution

The fourth proportional to 5,047.62, 6,965.02 and 2,809.20 is: 3,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.62 : 6,965.02 = 2,809.20 : x
  2. Step 2: Convert to fraction form
    5,047.62/6,965.02 = 2,809.20/x
  3. Step 3: Cross multiply
    5,047.62x = 6,965.02 × 2,809.20
  4. Step 4: Simplify right side
    5,047.62x = 19,566,134.18
  5. Step 5: Solve for x
    x = 19,566,134.18/5,047.62
  6. Step 6: Final answer
    x = 3,876.31

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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.