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Finding the Fourth Proportional to 7,978.77, 11,966.90 and 3,047.31

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Solution

The fourth proportional to 7,978.77, 11,966.90 and 3,047.31 is: 4,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.77 : 11,966.90 = 3,047.31 : x
  2. Step 2: Convert to fraction form
    7,978.77/11,966.90 = 3,047.31/x
  3. Step 3: Cross multiply
    7,978.77x = 11,966.90 × 3,047.31
  4. Step 4: Simplify right side
    7,978.77x = 36,466,854.04
  5. Step 5: Solve for x
    x = 36,466,854.04/7,978.77
  6. Step 6: Final answer
    x = 4,570.49

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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.