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Finding the Fourth Proportional to 8,456.77, 12,666.57 and 6,972.60

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Solution

The fourth proportional to 8,456.77, 12,666.57 and 6,972.60 is: 10,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.77 : 12,666.57 = 6,972.60 : x
  2. Step 2: Convert to fraction form
    8,456.77/12,666.57 = 6,972.60/x
  3. Step 3: Cross multiply
    8,456.77x = 12,666.57 × 6,972.60
  4. Step 4: Simplify right side
    8,456.77x = 88,318,959.18
  5. Step 5: Solve for x
    x = 88,318,959.18/8,456.77
  6. Step 6: Final answer
    x = 10,443.58

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1.5x scale

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.