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Finding the Fourth Proportional to 6,978.31, 10,467.47 and 2,047.92

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Solution

The fourth proportional to 6,978.31, 10,467.47 and 2,047.92 is: 3,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.31 : 10,467.47 = 2,047.92 : x
  2. Step 2: Convert to fraction form
    6,978.31/10,467.47 = 2,047.92/x
  3. Step 3: Cross multiply
    6,978.31x = 10,467.47 × 2,047.92
  4. Step 4: Simplify right side
    6,978.31x = 21,436,541.16
  5. Step 5: Solve for x
    x = 21,436,541.16/6,978.31
  6. Step 6: Final answer
    x = 3,071.88

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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.