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Finding the Fourth Proportional to 17,824.10, 26,727.14 and 10,430.78

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Solution

The fourth proportional to 17,824.10, 26,727.14 and 10,430.78 is: 15,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.10 : 26,727.14 = 10,430.78 : x
  2. Step 2: Convert to fraction form
    17,824.10/26,727.14 = 10,430.78/x
  3. Step 3: Cross multiply
    17,824.10x = 26,727.14 × 10,430.78
  4. Step 4: Simplify right side
    17,824.10x = 278,784,809.81
  5. Step 5: Solve for x
    x = 278,784,809.81/17,824.10
  6. Step 6: Final answer
    x = 15,640.90

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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.