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Finding the Fourth Proportional to 7,610.66, 11,415.94 and 3,913.92

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Solution

The fourth proportional to 7,610.66, 11,415.94 and 3,913.92 is: 5,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.66 : 11,415.94 = 3,913.92 : x
  2. Step 2: Convert to fraction form
    7,610.66/11,415.94 = 3,913.92/x
  3. Step 3: Cross multiply
    7,610.66x = 11,415.94 × 3,913.92
  4. Step 4: Simplify right side
    7,610.66x = 44,681,066.10
  5. Step 5: Solve for x
    x = 44,681,066.10/7,610.66
  6. Step 6: Final answer
    x = 5,870.85

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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.