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Finding the Fourth Proportional to 1,281.09, 1,923.81 and 837.09

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Solution

The fourth proportional to 1,281.09, 1,923.81 and 837.09 is: 1,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.09 : 1,923.81 = 837.09 : x
  2. Step 2: Convert to fraction form
    1,281.09/1,923.81 = 837.09/x
  3. Step 3: Cross multiply
    1,281.09x = 1,923.81 × 837.09
  4. Step 4: Simplify right side
    1,281.09x = 1,610,402.11
  5. Step 5: Solve for x
    x = 1,610,402.11/1,281.09
  6. Step 6: Final answer
    x = 1,257.06

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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.