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Finding the Fourth Proportional to 13,491.20, 20,188.20 and 9,117.20

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Solution

The fourth proportional to 13,491.20, 20,188.20 and 9,117.20 is: 13,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.20 : 20,188.20 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    13,491.20/20,188.20 = 9,117.20/x
  3. Step 3: Cross multiply
    13,491.20x = 20,188.20 × 9,117.20
  4. Step 4: Simplify right side
    13,491.20x = 184,059,857.04
  5. Step 5: Solve for x
    x = 184,059,857.04/13,491.20
  6. Step 6: Final answer
    x = 13,642.96

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1.5x scale

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.