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Finding the Fourth Proportional to 7,123.78, 10,674.66 and 4,936.78

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Solution

The fourth proportional to 7,123.78, 10,674.66 and 4,936.78 is: 7,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.78 : 10,674.66 = 4,936.78 : x
  2. Step 2: Convert to fraction form
    7,123.78/10,674.66 = 4,936.78/x
  3. Step 3: Cross multiply
    7,123.78x = 10,674.66 × 4,936.78
  4. Step 4: Simplify right side
    7,123.78x = 52,698,447.99
  5. Step 5: Solve for x
    x = 52,698,447.99/7,123.78
  6. Step 6: Final answer
    x = 7,397.54

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1.5x scale

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.