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Finding the Fourth Proportional to 1,964.57, 2,710.53 and 1,218.56

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Solution

The fourth proportional to 1,964.57, 2,710.53 and 1,218.56 is: 1,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.57 : 2,710.53 = 1,218.56 : x
  2. Step 2: Convert to fraction form
    1,964.57/2,710.53 = 1,218.56/x
  3. Step 3: Cross multiply
    1,964.57x = 2,710.53 × 1,218.56
  4. Step 4: Simplify right side
    1,964.57x = 3,302,929.88
  5. Step 5: Solve for x
    x = 3,302,929.88/1,964.57
  6. Step 6: Final answer
    x = 1,681.25

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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.