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Finding the Fourth Proportional to 1,326.87, 1,988.16 and 937.05

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Solution

The fourth proportional to 1,326.87, 1,988.16 and 937.05 is: 1,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.87 : 1,988.16 = 937.05 : x
  2. Step 2: Convert to fraction form
    1,326.87/1,988.16 = 937.05/x
  3. Step 3: Cross multiply
    1,326.87x = 1,988.16 × 937.05
  4. Step 4: Simplify right side
    1,326.87x = 1,863,005.33
  5. Step 5: Solve for x
    x = 1,863,005.33/1,326.87
  6. Step 6: Final answer
    x = 1,404.06

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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.