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Finding the Fourth Proportional to 10,575.82, 15,834.21 and 8,120.62

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Solution

The fourth proportional to 10,575.82, 15,834.21 and 8,120.62 is: 12,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.82 : 15,834.21 = 8,120.62 : x
  2. Step 2: Convert to fraction form
    10,575.82/15,834.21 = 8,120.62/x
  3. Step 3: Cross multiply
    10,575.82x = 15,834.21 × 8,120.62
  4. Step 4: Simplify right side
    10,575.82x = 128,583,602.41
  5. Step 5: Solve for x
    x = 128,583,602.41/10,575.82
  6. Step 6: Final answer
    x = 12,158.26

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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.