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Finding the Fourth Proportional to 16,113.12, 22,223.28 and 13,313.76

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Solution

The fourth proportional to 16,113.12, 22,223.28 and 13,313.76 is: 18,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.12 : 22,223.28 = 13,313.76 : x
  2. Step 2: Convert to fraction form
    16,113.12/22,223.28 = 13,313.76/x
  3. Step 3: Cross multiply
    16,113.12x = 22,223.28 × 13,313.76
  4. Step 4: Simplify right side
    16,113.12x = 295,875,416.33
  5. Step 5: Solve for x
    x = 295,875,416.33/16,113.12
  6. Step 6: Final answer
    x = 18,362.39

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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.