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Finding the Fourth Proportional to 20,360.76, 28,096.32 and 12,402

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Solution

The fourth proportional to 20,360.76, 28,096.32 and 12,402 is: 17,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,360.76 : 28,096.32 = 12,402 : x
  2. Step 2: Convert to fraction form
    20,360.76/28,096.32 = 12,402/x
  3. Step 3: Cross multiply
    20,360.76x = 28,096.32 × 12,402
  4. Step 4: Simplify right side
    20,360.76x = 348,450,560.64
  5. Step 5: Solve for x
    x = 348,450,560.64/20,360.76
  6. Step 6: Final answer
    x = 17,113.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.