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Finding the Fourth Proportional to 7,869.76, 11,806.08 and 2,677.12

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Solution

The fourth proportional to 7,869.76, 11,806.08 and 2,677.12 is: 4,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.76 : 11,806.08 = 2,677.12 : x
  2. Step 2: Convert to fraction form
    7,869.76/11,806.08 = 2,677.12/x
  3. Step 3: Cross multiply
    7,869.76x = 11,806.08 × 2,677.12
  4. Step 4: Simplify right side
    7,869.76x = 31,606,292.89
  5. Step 5: Solve for x
    x = 31,606,292.89/7,869.76
  6. Step 6: Final answer
    x = 4,016.17

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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.