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Finding the Fourth Proportional to 9,137.70, 12,610.02 and 4,945.95

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Solution

The fourth proportional to 9,137.70, 12,610.02 and 4,945.95 is: 6,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.70 : 12,610.02 = 4,945.95 : x
  2. Step 2: Convert to fraction form
    9,137.70/12,610.02 = 4,945.95/x
  3. Step 3: Cross multiply
    9,137.70x = 12,610.02 × 4,945.95
  4. Step 4: Simplify right side
    9,137.70x = 62,368,528.42
  5. Step 5: Solve for x
    x = 62,368,528.42/9,137.70
  6. Step 6: Final answer
    x = 6,825.41

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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.