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Finding the Fourth Proportional to 7,580.50, 11,369.52 and 5,382.58

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Solution

The fourth proportional to 7,580.50, 11,369.52 and 5,382.58 is: 8,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.50 : 11,369.52 = 5,382.58 : x
  2. Step 2: Convert to fraction form
    7,580.50/11,369.52 = 5,382.58/x
  3. Step 3: Cross multiply
    7,580.50x = 11,369.52 × 5,382.58
  4. Step 4: Simplify right side
    7,580.50x = 61,197,350.96
  5. Step 5: Solve for x
    x = 61,197,350.96/7,580.50
  6. Step 6: Final answer
    x = 8,073.00

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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.