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Finding the Fourth Proportional to 7,133.78, 10,693.72 and 2,974.98

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Solution

The fourth proportional to 7,133.78, 10,693.72 and 2,974.98 is: 4,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.78 : 10,693.72 = 2,974.98 : x
  2. Step 2: Convert to fraction form
    7,133.78/10,693.72 = 2,974.98/x
  3. Step 3: Cross multiply
    7,133.78x = 10,693.72 × 2,974.98
  4. Step 4: Simplify right side
    7,133.78x = 31,813,595.69
  5. Step 5: Solve for x
    x = 31,813,595.69/7,133.78
  6. Step 6: Final answer
    x = 4,459.57

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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.