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Finding the Fourth Proportional to 2,708.65, 3,740.05 and 2,078.18

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Solution

The fourth proportional to 2,708.65, 3,740.05 and 2,078.18 is: 2,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.65 : 3,740.05 = 2,078.18 : x
  2. Step 2: Convert to fraction form
    2,708.65/3,740.05 = 2,078.18/x
  3. Step 3: Cross multiply
    2,708.65x = 3,740.05 × 2,078.18
  4. Step 4: Simplify right side
    2,708.65x = 7,772,497.11
  5. Step 5: Solve for x
    x = 7,772,497.11/2,708.65
  6. Step 6: Final answer
    x = 2,869.51

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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.