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Finding the Fourth Proportional to 2,578.84, 3,550.70 and 2,275.70

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Solution

The fourth proportional to 2,578.84, 3,550.70 and 2,275.70 is: 3,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.84 : 3,550.70 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    2,578.84/3,550.70 = 2,275.70/x
  3. Step 3: Cross multiply
    2,578.84x = 3,550.70 × 2,275.70
  4. Step 4: Simplify right side
    2,578.84x = 8,080,315.93
  5. Step 5: Solve for x
    x = 8,080,315.93/2,578.84
  6. Step 6: Final answer
    x = 3,133.32

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Half scale
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Double scale
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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.