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Finding the Fourth Proportional to 13,632.84, 20,434.68 and 7,052.40

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Solution

The fourth proportional to 13,632.84, 20,434.68 and 7,052.40 is: 10,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.84 : 20,434.68 = 7,052.40 : x
  2. Step 2: Convert to fraction form
    13,632.84/20,434.68 = 7,052.40/x
  3. Step 3: Cross multiply
    13,632.84x = 20,434.68 × 7,052.40
  4. Step 4: Simplify right side
    13,632.84x = 144,113,537.23
  5. Step 5: Solve for x
    x = 144,113,537.23/13,632.84
  6. Step 6: Final answer
    x = 10,571.06

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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.