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Finding the Fourth Proportional to 1,290.62, 1,943.22 and 1,137.53

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Solution

The fourth proportional to 1,290.62, 1,943.22 and 1,137.53 is: 1,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.62 : 1,943.22 = 1,137.53 : x
  2. Step 2: Convert to fraction form
    1,290.62/1,943.22 = 1,137.53/x
  3. Step 3: Cross multiply
    1,290.62x = 1,943.22 × 1,137.53
  4. Step 4: Simplify right side
    1,290.62x = 2,210,461.33
  5. Step 5: Solve for x
    x = 2,210,461.33/1,290.62
  6. Step 6: Final answer
    x = 1,712.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.