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Finding the Fourth Proportional to 8,606.25, 12,907.55 and 6,972.08

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Solution

The fourth proportional to 8,606.25, 12,907.55 and 6,972.08 is: 10,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.25 : 12,907.55 = 6,972.08 : x
  2. Step 2: Convert to fraction form
    8,606.25/12,907.55 = 6,972.08/x
  3. Step 3: Cross multiply
    8,606.25x = 12,907.55 × 6,972.08
  4. Step 4: Simplify right side
    8,606.25x = 89,992,424.10
  5. Step 5: Solve for x
    x = 89,992,424.10/8,606.25
  6. Step 6: Final answer
    x = 10,456.64

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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.