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Finding the Fourth Proportional to 7,904.80, 11,857.80 and 2,357.71

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Solution

The fourth proportional to 7,904.80, 11,857.80 and 2,357.71 is: 3,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.80 : 11,857.80 = 2,357.71 : x
  2. Step 2: Convert to fraction form
    7,904.80/11,857.80 = 2,357.71/x
  3. Step 3: Cross multiply
    7,904.80x = 11,857.80 × 2,357.71
  4. Step 4: Simplify right side
    7,904.80x = 27,957,253.64
  5. Step 5: Solve for x
    x = 27,957,253.64/7,904.80
  6. Step 6: Final answer
    x = 3,536.74

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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.