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Finding the Fourth Proportional to 8,772.71, 12,098.31 and 6,858.80

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Solution

The fourth proportional to 8,772.71, 12,098.31 and 6,858.80 is: 9,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.71 : 12,098.31 = 6,858.80 : x
  2. Step 2: Convert to fraction form
    8,772.71/12,098.31 = 6,858.80/x
  3. Step 3: Cross multiply
    8,772.71x = 12,098.31 × 6,858.80
  4. Step 4: Simplify right side
    8,772.71x = 82,979,828.14
  5. Step 5: Solve for x
    x = 82,979,828.14/8,772.71
  6. Step 6: Final answer
    x = 9,458.86

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1.5x scale

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.