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Finding the Fourth Proportional to 1,964.88, 2,710.68 and 1,218.30

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Solution

The fourth proportional to 1,964.88, 2,710.68 and 1,218.30 is: 1,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.88 : 2,710.68 = 1,218.30 : x
  2. Step 2: Convert to fraction form
    1,964.88/2,710.68 = 1,218.30/x
  3. Step 3: Cross multiply
    1,964.88x = 2,710.68 × 1,218.30
  4. Step 4: Simplify right side
    1,964.88x = 3,302,421.44
  5. Step 5: Solve for x
    x = 3,302,421.44/1,964.88
  6. Step 6: Final answer
    x = 1,680.72

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