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Finding the Fourth Proportional to 7,902.50, 11,855.50 and 2,637.77

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Solution

The fourth proportional to 7,902.50, 11,855.50 and 2,637.77 is: 3,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.50 : 11,855.50 = 2,637.77 : x
  2. Step 2: Convert to fraction form
    7,902.50/11,855.50 = 2,637.77/x
  3. Step 3: Cross multiply
    7,902.50x = 11,855.50 × 2,637.77
  4. Step 4: Simplify right side
    7,902.50x = 31,272,016.36
  5. Step 5: Solve for x
    x = 31,272,016.36/7,902.50
  6. Step 6: Final answer
    x = 3,957.23

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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.