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Finding the Fourth Proportional to 22,313.34, 33,477.12 and 13,438.40

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Solution

The fourth proportional to 22,313.34, 33,477.12 and 13,438.40 is: 20,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,313.34 : 33,477.12 = 13,438.40 : x
  2. Step 2: Convert to fraction form
    22,313.34/33,477.12 = 13,438.40/x
  3. Step 3: Cross multiply
    22,313.34x = 33,477.12 × 13,438.40
  4. Step 4: Simplify right side
    22,313.34x = 449,878,762.02
  5. Step 5: Solve for x
    x = 449,878,762.02/22,313.34
  6. Step 6: Final answer
    x = 20,161.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.