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Finding the Fourth Proportional to 3,465.70, 5,198 and 1,125.76

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Solution

The fourth proportional to 3,465.70, 5,198 and 1,125.76 is: 1,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.70 : 5,198 = 1,125.76 : x
  2. Step 2: Convert to fraction form
    3,465.70/5,198 = 1,125.76/x
  3. Step 3: Cross multiply
    3,465.70x = 5,198 × 1,125.76
  4. Step 4: Simplify right side
    3,465.70x = 5,851,700.48
  5. Step 5: Solve for x
    x = 5,851,700.48/3,465.70
  6. Step 6: Final answer
    x = 1,688.46

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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.