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Finding the Fourth Proportional to 20,530.64, 30,808.11 and 8,683.74

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Solution

The fourth proportional to 20,530.64, 30,808.11 and 8,683.74 is: 13,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.64 : 30,808.11 = 8,683.74 : x
  2. Step 2: Convert to fraction form
    20,530.64/30,808.11 = 8,683.74/x
  3. Step 3: Cross multiply
    20,530.64x = 30,808.11 × 8,683.74
  4. Step 4: Simplify right side
    20,530.64x = 267,529,617.13
  5. Step 5: Solve for x
    x = 267,529,617.13/20,530.64
  6. Step 6: Final answer
    x = 13,030.75

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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.