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Finding the Fourth Proportional to 2,650.53, 3,658.21 and 1,531.45

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Solution

The fourth proportional to 2,650.53, 3,658.21 and 1,531.45 is: 2,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.53 : 3,658.21 = 1,531.45 : x
  2. Step 2: Convert to fraction form
    2,650.53/3,658.21 = 1,531.45/x
  3. Step 3: Cross multiply
    2,650.53x = 3,658.21 × 1,531.45
  4. Step 4: Simplify right side
    2,650.53x = 5,602,352.73
  5. Step 5: Solve for x
    x = 5,602,352.73/2,650.53
  6. Step 6: Final answer
    x = 2,113.67

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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.