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Finding the Fourth Proportional to 1,635.81, 2,454.15 and 856.20

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Solution

The fourth proportional to 1,635.81, 2,454.15 and 856.20 is: 1,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.81 : 2,454.15 = 856.20 : x
  2. Step 2: Convert to fraction form
    1,635.81/2,454.15 = 856.20/x
  3. Step 3: Cross multiply
    1,635.81x = 2,454.15 × 856.20
  4. Step 4: Simplify right side
    1,635.81x = 2,101,243.23
  5. Step 5: Solve for x
    x = 2,101,243.23/1,635.81
  6. Step 6: Final answer
    x = 1,284.53

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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.