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Finding the Fourth Proportional to 7,529.50, 10,377.74 and 7,078.06

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Solution

The fourth proportional to 7,529.50, 10,377.74 and 7,078.06 is: 9,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.50 : 10,377.74 = 7,078.06 : x
  2. Step 2: Convert to fraction form
    7,529.50/10,377.74 = 7,078.06/x
  3. Step 3: Cross multiply
    7,529.50x = 10,377.74 × 7,078.06
  4. Step 4: Simplify right side
    7,529.50x = 73,454,266.38
  5. Step 5: Solve for x
    x = 73,454,266.38/7,529.50
  6. Step 6: Final answer
    x = 9,755.53

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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.