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Finding the Fourth Proportional to 1,961, 2,937.40 and 866.14

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Solution

The fourth proportional to 1,961, 2,937.40 and 866.14 is: 1,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961 : 2,937.40 = 866.14 : x
  2. Step 2: Convert to fraction form
    1,961/2,937.40 = 866.14/x
  3. Step 3: Cross multiply
    1,961x = 2,937.40 × 866.14
  4. Step 4: Simplify right side
    1,961x = 2,544,199.64
  5. Step 5: Solve for x
    x = 2,544,199.64/1,961
  6. Step 6: Final answer
    x = 1,297.40

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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.