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Finding the Fourth Proportional to 5,708.97, 7,878.87 and 3,470.67

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Solution

The fourth proportional to 5,708.97, 7,878.87 and 3,470.67 is: 4,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.97 : 7,878.87 = 3,470.67 : x
  2. Step 2: Convert to fraction form
    5,708.97/7,878.87 = 3,470.67/x
  3. Step 3: Cross multiply
    5,708.97x = 7,878.87 × 3,470.67
  4. Step 4: Simplify right side
    5,708.97x = 27,344,957.74
  5. Step 5: Solve for x
    x = 27,344,957.74/5,708.97
  6. Step 6: Final answer
    x = 4,789.82

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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.