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Finding the Fourth Proportional to 3,920.47, 5,880.71 and 998.78

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Solution

The fourth proportional to 3,920.47, 5,880.71 and 998.78 is: 1,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.47 : 5,880.71 = 998.78 : x
  2. Step 2: Convert to fraction form
    3,920.47/5,880.71 = 998.78/x
  3. Step 3: Cross multiply
    3,920.47x = 5,880.71 × 998.78
  4. Step 4: Simplify right side
    3,920.47x = 5,873,515.84
  5. Step 5: Solve for x
    x = 5,873,515.84/3,920.47
  6. Step 6: Final answer
    x = 1,498.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.