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Finding the Fourth Proportional to 1,261.97, 1,891.23 and 953.57

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Solution

The fourth proportional to 1,261.97, 1,891.23 and 953.57 is: 1,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.97 : 1,891.23 = 953.57 : x
  2. Step 2: Convert to fraction form
    1,261.97/1,891.23 = 953.57/x
  3. Step 3: Cross multiply
    1,261.97x = 1,891.23 × 953.57
  4. Step 4: Simplify right side
    1,261.97x = 1,803,420.19
  5. Step 5: Solve for x
    x = 1,803,420.19/1,261.97
  6. Step 6: Final answer
    x = 1,429.05

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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.