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Finding the Fourth Proportional to 8,602.30, 12,905.75 and 6,853.90

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Solution

The fourth proportional to 8,602.30, 12,905.75 and 6,853.90 is: 10,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.30 : 12,905.75 = 6,853.90 : x
  2. Step 2: Convert to fraction form
    8,602.30/12,905.75 = 6,853.90/x
  3. Step 3: Cross multiply
    8,602.30x = 12,905.75 × 6,853.90
  4. Step 4: Simplify right side
    8,602.30x = 88,454,719.93
  5. Step 5: Solve for x
    x = 88,454,719.93/8,602.30
  6. Step 6: Final answer
    x = 10,282.68

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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.