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Finding the Fourth Proportional to 4,731.86, 7,087.47 and 3,900.80

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Solution

The fourth proportional to 4,731.86, 7,087.47 and 3,900.80 is: 5,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.86 : 7,087.47 = 3,900.80 : x
  2. Step 2: Convert to fraction form
    4,731.86/7,087.47 = 3,900.80/x
  3. Step 3: Cross multiply
    4,731.86x = 7,087.47 × 3,900.80
  4. Step 4: Simplify right side
    4,731.86x = 27,646,806.07
  5. Step 5: Solve for x
    x = 27,646,806.07/4,731.86
  6. Step 6: Final answer
    x = 5,842.69

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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.