Home / 1,578.27-2,177.10-987.78

Finding the Fourth Proportional to 1,578.27, 2,177.10 and 987.78

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Solution

The fourth proportional to 1,578.27, 2,177.10 and 987.78 is: 1,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.27 : 2,177.10 = 987.78 : x
  2. Step 2: Convert to fraction form
    1,578.27/2,177.10 = 987.78/x
  3. Step 3: Cross multiply
    1,578.27x = 2,177.10 × 987.78
  4. Step 4: Simplify right side
    1,578.27x = 2,150,495.84
  5. Step 5: Solve for x
    x = 2,150,495.84/1,578.27
  6. Step 6: Final answer
    x = 1,362.57

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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.