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Finding the Fourth Proportional to 28,471.34, 42,711.87 and 12,682.01

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Solution

The fourth proportional to 28,471.34, 42,711.87 and 12,682.01 is: 19,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,471.34 : 42,711.87 = 12,682.01 : x
  2. Step 2: Convert to fraction form
    28,471.34/42,711.87 = 12,682.01/x
  3. Step 3: Cross multiply
    28,471.34x = 42,711.87 × 12,682.01
  4. Step 4: Simplify right side
    28,471.34x = 541,672,362.46
  5. Step 5: Solve for x
    x = 541,672,362.46/28,471.34
  6. Step 6: Final answer
    x = 19,025.18

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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.