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Finding the Fourth Proportional to 1,889.84, 2,834.62 and 1,159.52

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Solution

The fourth proportional to 1,889.84, 2,834.62 and 1,159.52 is: 1,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.84 : 2,834.62 = 1,159.52 : x
  2. Step 2: Convert to fraction form
    1,889.84/2,834.62 = 1,159.52/x
  3. Step 3: Cross multiply
    1,889.84x = 2,834.62 × 1,159.52
  4. Step 4: Simplify right side
    1,889.84x = 3,286,798.58
  5. Step 5: Solve for x
    x = 3,286,798.58/1,889.84
  6. Step 6: Final answer
    x = 1,739.19

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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.