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Finding the Fourth Proportional to 1,867.66, 2,800.57 and 1,087.93

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Solution

The fourth proportional to 1,867.66, 2,800.57 and 1,087.93 is: 1,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.66 : 2,800.57 = 1,087.93 : x
  2. Step 2: Convert to fraction form
    1,867.66/2,800.57 = 1,087.93/x
  3. Step 3: Cross multiply
    1,867.66x = 2,800.57 × 1,087.93
  4. Step 4: Simplify right side
    1,867.66x = 3,046,824.12
  5. Step 5: Solve for x
    x = 3,046,824.12/1,867.66
  6. Step 6: Final answer
    x = 1,631.36

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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.