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Finding the Fourth Proportional to 1,856.14, 2,783.28 and 815.78

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Solution

The fourth proportional to 1,856.14, 2,783.28 and 815.78 is: 1,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.14 : 2,783.28 = 815.78 : x
  2. Step 2: Convert to fraction form
    1,856.14/2,783.28 = 815.78/x
  3. Step 3: Cross multiply
    1,856.14x = 2,783.28 × 815.78
  4. Step 4: Simplify right side
    1,856.14x = 2,270,544.16
  5. Step 5: Solve for x
    x = 2,270,544.16/1,856.14
  6. Step 6: Final answer
    x = 1,223.26

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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.