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Finding the Fourth Proportional to 4,971.12, 7,458.12 and 2,047.92

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Solution

The fourth proportional to 4,971.12, 7,458.12 and 2,047.92 is: 3,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.12 : 7,458.12 = 2,047.92 : x
  2. Step 2: Convert to fraction form
    4,971.12/7,458.12 = 2,047.92/x
  3. Step 3: Cross multiply
    4,971.12x = 7,458.12 × 2,047.92
  4. Step 4: Simplify right side
    4,971.12x = 15,273,633.11
  5. Step 5: Solve for x
    x = 15,273,633.11/4,971.12
  6. Step 6: Final answer
    x = 3,072.47

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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.