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Finding the Fourth Proportional to 7,899.68, 11,852.28 and 3,516.72

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Solution

The fourth proportional to 7,899.68, 11,852.28 and 3,516.72 is: 5,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.68 : 11,852.28 = 3,516.72 : x
  2. Step 2: Convert to fraction form
    7,899.68/11,852.28 = 3,516.72/x
  3. Step 3: Cross multiply
    7,899.68x = 11,852.28 × 3,516.72
  4. Step 4: Simplify right side
    7,899.68x = 41,681,150.12
  5. Step 5: Solve for x
    x = 41,681,150.12/7,899.68
  6. Step 6: Final answer
    x = 5,276.31

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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.