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Finding the Fourth Proportional to 7,800.30, 11,704.70 and 2,869.22

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Solution

The fourth proportional to 7,800.30, 11,704.70 and 2,869.22 is: 4,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.30 : 11,704.70 = 2,869.22 : x
  2. Step 2: Convert to fraction form
    7,800.30/11,704.70 = 2,869.22/x
  3. Step 3: Cross multiply
    7,800.30x = 11,704.70 × 2,869.22
  4. Step 4: Simplify right side
    7,800.30x = 33,583,395.77
  5. Step 5: Solve for x
    x = 33,583,395.77/7,800.30
  6. Step 6: Final answer
    x = 4,305.40

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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.