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Finding the Fourth Proportional to 7,904.64, 11,856.95 and 2,361.87

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Solution

The fourth proportional to 7,904.64, 11,856.95 and 2,361.87 is: 3,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.64 : 11,856.95 = 2,361.87 : x
  2. Step 2: Convert to fraction form
    7,904.64/11,856.95 = 2,361.87/x
  3. Step 3: Cross multiply
    7,904.64x = 11,856.95 × 2,361.87
  4. Step 4: Simplify right side
    7,904.64x = 28,004,538.20
  5. Step 5: Solve for x
    x = 28,004,538.20/7,904.64
  6. Step 6: Final answer
    x = 3,542.80

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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.