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Finding the Fourth Proportional to 1,785.65, 2,678.82 and 1,265.83

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Solution

The fourth proportional to 1,785.65, 2,678.82 and 1,265.83 is: 1,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.65 : 2,678.82 = 1,265.83 : x
  2. Step 2: Convert to fraction form
    1,785.65/2,678.82 = 1,265.83/x
  3. Step 3: Cross multiply
    1,785.65x = 2,678.82 × 1,265.83
  4. Step 4: Simplify right side
    1,785.65x = 3,390,926.40
  5. Step 5: Solve for x
    x = 3,390,926.40/1,785.65
  6. Step 6: Final answer
    x = 1,898.99

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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.