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Finding the Fourth Proportional to 3,470.62, 4,788 and 2,275.88

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Solution

The fourth proportional to 3,470.62, 4,788 and 2,275.88 is: 3,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.62 : 4,788 = 2,275.88 : x
  2. Step 2: Convert to fraction form
    3,470.62/4,788 = 2,275.88/x
  3. Step 3: Cross multiply
    3,470.62x = 4,788 × 2,275.88
  4. Step 4: Simplify right side
    3,470.62x = 10,896,913.44
  5. Step 5: Solve for x
    x = 10,896,913.44/3,470.62
  6. Step 6: Final answer
    x = 3,139.76

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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.