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Finding the Fourth Proportional to 5,047.38, 6,964.65 and 2,809.32

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Solution

The fourth proportional to 5,047.38, 6,964.65 and 2,809.32 is: 3,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.38 : 6,964.65 = 2,809.32 : x
  2. Step 2: Convert to fraction form
    5,047.38/6,964.65 = 2,809.32/x
  3. Step 3: Cross multiply
    5,047.38x = 6,964.65 × 2,809.32
  4. Step 4: Simplify right side
    5,047.38x = 19,565,930.54
  5. Step 5: Solve for x
    x = 19,565,930.54/5,047.38
  6. Step 6: Final answer
    x = 3,876.45

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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.