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Finding the Fourth Proportional to 2,730.68, 3,763.50 and 2,230.10

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Solution

The fourth proportional to 2,730.68, 3,763.50 and 2,230.10 is: 3,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.68 : 3,763.50 = 2,230.10 : x
  2. Step 2: Convert to fraction form
    2,730.68/3,763.50 = 2,230.10/x
  3. Step 3: Cross multiply
    2,730.68x = 3,763.50 × 2,230.10
  4. Step 4: Simplify right side
    2,730.68x = 8,392,981.35
  5. Step 5: Solve for x
    x = 8,392,981.35/2,730.68
  6. Step 6: Final answer
    x = 3,073.59

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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.