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Finding the Fourth Proportional to 2,185.52, 3,016.28 and 1,254

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Solution

The fourth proportional to 2,185.52, 3,016.28 and 1,254 is: 1,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.52 : 3,016.28 = 1,254 : x
  2. Step 2: Convert to fraction form
    2,185.52/3,016.28 = 1,254/x
  3. Step 3: Cross multiply
    2,185.52x = 3,016.28 × 1,254
  4. Step 4: Simplify right side
    2,185.52x = 3,782,415.12
  5. Step 5: Solve for x
    x = 3,782,415.12/2,185.52
  6. Step 6: Final answer
    x = 1,730.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.