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Finding the Fourth Proportional to 32,187, 48,278.34 and 8,813.64

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Solution

The fourth proportional to 32,187, 48,278.34 and 8,813.64 is: 13,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187 : 48,278.34 = 8,813.64 : x
  2. Step 2: Convert to fraction form
    32,187/48,278.34 = 8,813.64/x
  3. Step 3: Cross multiply
    32,187x = 48,278.34 × 8,813.64
  4. Step 4: Simplify right side
    32,187x = 425,507,908.56
  5. Step 5: Solve for x
    x = 425,507,908.56/32,187
  6. Step 6: Final answer
    x = 13,219.87

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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.