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Finding the Fourth Proportional to 1,786.77, 2,681.10 and 964.89

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Solution

The fourth proportional to 1,786.77, 2,681.10 and 964.89 is: 1,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.77 : 2,681.10 = 964.89 : x
  2. Step 2: Convert to fraction form
    1,786.77/2,681.10 = 964.89/x
  3. Step 3: Cross multiply
    1,786.77x = 2,681.10 × 964.89
  4. Step 4: Simplify right side
    1,786.77x = 2,586,966.58
  5. Step 5: Solve for x
    x = 2,586,966.58/1,786.77
  6. Step 6: Final answer
    x = 1,447.85

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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.