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Finding the Fourth Proportional to 7,900.77, 11,826.30 and 5,421.09

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Solution

The fourth proportional to 7,900.77, 11,826.30 and 5,421.09 is: 8,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.77 : 11,826.30 = 5,421.09 : x
  2. Step 2: Convert to fraction form
    7,900.77/11,826.30 = 5,421.09/x
  3. Step 3: Cross multiply
    7,900.77x = 11,826.30 × 5,421.09
  4. Step 4: Simplify right side
    7,900.77x = 64,111,436.67
  5. Step 5: Solve for x
    x = 64,111,436.67/7,900.77
  6. Step 6: Final answer
    x = 8,114.58

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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.