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Finding the Fourth Proportional to 1,964, 2,710.32 and 1,219.36

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Solution

The fourth proportional to 1,964, 2,710.32 and 1,219.36 is: 1,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964 : 2,710.32 = 1,219.36 : x
  2. Step 2: Convert to fraction form
    1,964/2,710.32 = 1,219.36/x
  3. Step 3: Cross multiply
    1,964x = 2,710.32 × 1,219.36
  4. Step 4: Simplify right side
    1,964x = 3,304,855.80
  5. Step 5: Solve for x
    x = 3,304,855.80/1,964
  6. Step 6: Final answer
    x = 1,682.72

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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.