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Finding the Fourth Proportional to 13,624.26, 18,801.62 and 7,656.04

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Solution

The fourth proportional to 13,624.26, 18,801.62 and 7,656.04 is: 10,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.26 : 18,801.62 = 7,656.04 : x
  2. Step 2: Convert to fraction form
    13,624.26/18,801.62 = 7,656.04/x
  3. Step 3: Cross multiply
    13,624.26x = 18,801.62 × 7,656.04
  4. Step 4: Simplify right side
    13,624.26x = 143,945,954.78
  5. Step 5: Solve for x
    x = 143,945,954.78/13,624.26
  6. Step 6: Final answer
    x = 10,565.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.