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Finding the Fourth Proportional to 1,862.03, 2,568.78 and 1,153.68

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Solution

The fourth proportional to 1,862.03, 2,568.78 and 1,153.68 is: 1,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.03 : 2,568.78 = 1,153.68 : x
  2. Step 2: Convert to fraction form
    1,862.03/2,568.78 = 1,153.68/x
  3. Step 3: Cross multiply
    1,862.03x = 2,568.78 × 1,153.68
  4. Step 4: Simplify right side
    1,862.03x = 2,963,550.11
  5. Step 5: Solve for x
    x = 2,963,550.11/1,862.03
  6. Step 6: Final answer
    x = 1,591.57

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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.