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Finding the Fourth Proportional to 1,256.49, 1,886.49 and 1,234.62

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Solution

The fourth proportional to 1,256.49, 1,886.49 and 1,234.62 is: 1,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.49 : 1,886.49 = 1,234.62 : x
  2. Step 2: Convert to fraction form
    1,256.49/1,886.49 = 1,234.62/x
  3. Step 3: Cross multiply
    1,256.49x = 1,886.49 × 1,234.62
  4. Step 4: Simplify right side
    1,256.49x = 2,329,098.28
  5. Step 5: Solve for x
    x = 2,329,098.28/1,256.49
  6. Step 6: Final answer
    x = 1,853.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.