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Finding the Fourth Proportional to 1,559, 2,150.91 and 886.73

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Solution

The fourth proportional to 1,559, 2,150.91 and 886.73 is: 1,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559 : 2,150.91 = 886.73 : x
  2. Step 2: Convert to fraction form
    1,559/2,150.91 = 886.73/x
  3. Step 3: Cross multiply
    1,559x = 2,150.91 × 886.73
  4. Step 4: Simplify right side
    1,559x = 1,907,276.42
  5. Step 5: Solve for x
    x = 1,907,276.42/1,559
  6. Step 6: Final answer
    x = 1,223.40

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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.