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Finding the Fourth Proportional to 1,421.22, 2,129.49 and 866.07

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Solution

The fourth proportional to 1,421.22, 2,129.49 and 866.07 is: 1,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.22 : 2,129.49 = 866.07 : x
  2. Step 2: Convert to fraction form
    1,421.22/2,129.49 = 866.07/x
  3. Step 3: Cross multiply
    1,421.22x = 2,129.49 × 866.07
  4. Step 4: Simplify right side
    1,421.22x = 1,844,287.40
  5. Step 5: Solve for x
    x = 1,844,287.40/1,421.22
  6. Step 6: Final answer
    x = 1,297.68

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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.