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Finding the Fourth Proportional to 4,971.31, 7,447.20 and 2,886.94

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Solution

The fourth proportional to 4,971.31, 7,447.20 and 2,886.94 is: 4,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.31 : 7,447.20 = 2,886.94 : x
  2. Step 2: Convert to fraction form
    4,971.31/7,447.20 = 2,886.94/x
  3. Step 3: Cross multiply
    4,971.31x = 7,447.20 × 2,886.94
  4. Step 4: Simplify right side
    4,971.31x = 21,499,619.57
  5. Step 5: Solve for x
    x = 21,499,619.57/4,971.31
  6. Step 6: Final answer
    x = 4,324.74

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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.