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Finding the Fourth Proportional to 22,534.40, 33,758.56 and 12,643.68

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Solution

The fourth proportional to 22,534.40, 33,758.56 and 12,643.68 is: 18,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.40 : 33,758.56 = 12,643.68 : x
  2. Step 2: Convert to fraction form
    22,534.40/33,758.56 = 12,643.68/x
  3. Step 3: Cross multiply
    22,534.40x = 33,758.56 × 12,643.68
  4. Step 4: Simplify right side
    22,534.40x = 426,832,429.90
  5. Step 5: Solve for x
    x = 426,832,429.90/22,534.40
  6. Step 6: Final answer
    x = 18,941.37

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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.