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Finding the Fourth Proportional to 5,710.62, 7,879.74 and 3,471.30

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Solution

The fourth proportional to 5,710.62, 7,879.74 and 3,471.30 is: 4,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.62 : 7,879.74 = 3,471.30 : x
  2. Step 2: Convert to fraction form
    5,710.62/7,879.74 = 3,471.30/x
  3. Step 3: Cross multiply
    5,710.62x = 7,879.74 × 3,471.30
  4. Step 4: Simplify right side
    5,710.62x = 27,352,941.46
  5. Step 5: Solve for x
    x = 27,352,941.46/5,710.62
  6. Step 6: Final answer
    x = 4,789.84

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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.