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Finding the Fourth Proportional to 1,260.89, 1,891.88 and 1,153.43

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Solution

The fourth proportional to 1,260.89, 1,891.88 and 1,153.43 is: 1,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.89 : 1,891.88 = 1,153.43 : x
  2. Step 2: Convert to fraction form
    1,260.89/1,891.88 = 1,153.43/x
  3. Step 3: Cross multiply
    1,260.89x = 1,891.88 × 1,153.43
  4. Step 4: Simplify right side
    1,260.89x = 2,182,152.99
  5. Step 5: Solve for x
    x = 2,182,152.99/1,260.89
  6. Step 6: Final answer
    x = 1,730.64

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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.