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Finding the Fourth Proportional to 13,212.57, 19,822.16 and 9,324.57

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Solution

The fourth proportional to 13,212.57, 19,822.16 and 9,324.57 is: 13,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.57 : 19,822.16 = 9,324.57 : x
  2. Step 2: Convert to fraction form
    13,212.57/19,822.16 = 9,324.57/x
  3. Step 3: Cross multiply
    13,212.57x = 19,822.16 × 9,324.57
  4. Step 4: Simplify right side
    13,212.57x = 184,833,071.85
  5. Step 5: Solve for x
    x = 184,833,071.85/13,212.57
  6. Step 6: Final answer
    x = 13,989.18

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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.