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Finding the Fourth Proportional to 7,950.50, 11,925.75 and 2,478.50

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Solution

The fourth proportional to 7,950.50, 11,925.75 and 2,478.50 is: 3,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.50 : 11,925.75 = 2,478.50 : x
  2. Step 2: Convert to fraction form
    7,950.50/11,925.75 = 2,478.50/x
  3. Step 3: Cross multiply
    7,950.50x = 11,925.75 × 2,478.50
  4. Step 4: Simplify right side
    7,950.50x = 29,557,971.38
  5. Step 5: Solve for x
    x = 29,557,971.38/7,950.50
  6. Step 6: Final answer
    x = 3,717.75

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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.