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Finding the Fourth Proportional to 8,602.62, 12,903.84 and 8,182.74

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Solution

The fourth proportional to 8,602.62, 12,903.84 and 8,182.74 is: 12,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.62 : 12,903.84 = 8,182.74 : x
  2. Step 2: Convert to fraction form
    8,602.62/12,903.84 = 8,182.74/x
  3. Step 3: Cross multiply
    8,602.62x = 12,903.84 × 8,182.74
  4. Step 4: Simplify right side
    8,602.62x = 105,588,767.72
  5. Step 5: Solve for x
    x = 105,588,767.72/8,602.62
  6. Step 6: Final answer
    x = 12,274.02

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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.