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Finding the Fourth Proportional to 2,053.09, 3,078.71 and 591.90

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Solution

The fourth proportional to 2,053.09, 3,078.71 and 591.90 is: 887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.09 : 3,078.71 = 591.90 : x
  2. Step 2: Convert to fraction form
    2,053.09/3,078.71 = 591.90/x
  3. Step 3: Cross multiply
    2,053.09x = 3,078.71 × 591.90
  4. Step 4: Simplify right side
    2,053.09x = 1,822,273.06
  5. Step 5: Solve for x
    x = 1,822,273.06/2,053.09
  6. Step 6: Final answer
    x = 887.58

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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.