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Finding the Fourth Proportional to 18,938.24, 28,402.72 and 8,402.40

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Solution

The fourth proportional to 18,938.24, 28,402.72 and 8,402.40 is: 12,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938.24 : 28,402.72 = 8,402.40 : x
  2. Step 2: Convert to fraction form
    18,938.24/28,402.72 = 8,402.40/x
  3. Step 3: Cross multiply
    18,938.24x = 28,402.72 × 8,402.40
  4. Step 4: Simplify right side
    18,938.24x = 238,651,014.53
  5. Step 5: Solve for x
    x = 238,651,014.53/18,938.24
  6. Step 6: Final answer
    x = 12,601.54

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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.