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Finding the Fourth Proportional to 13,661.52, 20,492.70 and 5,341.20

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Solution

The fourth proportional to 13,661.52, 20,492.70 and 5,341.20 is: 8,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.52 : 20,492.70 = 5,341.20 : x
  2. Step 2: Convert to fraction form
    13,661.52/20,492.70 = 5,341.20/x
  3. Step 3: Cross multiply
    13,661.52x = 20,492.70 × 5,341.20
  4. Step 4: Simplify right side
    13,661.52x = 109,455,609.24
  5. Step 5: Solve for x
    x = 109,455,609.24/13,661.52
  6. Step 6: Final answer
    x = 8,011.96

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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.