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Finding the Fourth Proportional to 12,077.22, 16,666.56 and 6,772.02

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Solution

The fourth proportional to 12,077.22, 16,666.56 and 6,772.02 is: 9,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.22 : 16,666.56 = 6,772.02 : x
  2. Step 2: Convert to fraction form
    12,077.22/16,666.56 = 6,772.02/x
  3. Step 3: Cross multiply
    12,077.22x = 16,666.56 × 6,772.02
  4. Step 4: Simplify right side
    12,077.22x = 112,866,277.65
  5. Step 5: Solve for x
    x = 112,866,277.65/12,077.22
  6. Step 6: Final answer
    x = 9,345.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.