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Finding the Fourth Proportional to 13,624.75, 18,801.99 and 7,657.43

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Solution

The fourth proportional to 13,624.75, 18,801.99 and 7,657.43 is: 10,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.75 : 18,801.99 = 7,657.43 : x
  2. Step 2: Convert to fraction form
    13,624.75/18,801.99 = 7,657.43/x
  3. Step 3: Cross multiply
    13,624.75x = 18,801.99 × 7,657.43
  4. Step 4: Simplify right side
    13,624.75x = 143,974,969.29
  5. Step 5: Solve for x
    x = 143,974,969.29/13,624.75
  6. Step 6: Final answer
    x = 10,567.17

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1.5x scale

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.