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Finding the Fourth Proportional to 2,175.84, 3,001.08 and 1,964.64

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Solution

The fourth proportional to 2,175.84, 3,001.08 and 1,964.64 is: 2,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.84 : 3,001.08 = 1,964.64 : x
  2. Step 2: Convert to fraction form
    2,175.84/3,001.08 = 1,964.64/x
  3. Step 3: Cross multiply
    2,175.84x = 3,001.08 × 1,964.64
  4. Step 4: Simplify right side
    2,175.84x = 5,896,041.81
  5. Step 5: Solve for x
    x = 5,896,041.81/2,175.84
  6. Step 6: Final answer
    x = 2,709.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.