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Finding the Fourth Proportional to 8,724, 13,088.16 and 2,568

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Solution

The fourth proportional to 8,724, 13,088.16 and 2,568 is: 3,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 13,088.16 = 2,568 : x
  2. Step 2: Convert to fraction form
    8,724/13,088.16 = 2,568/x
  3. Step 3: Cross multiply
    8,724x = 13,088.16 × 2,568
  4. Step 4: Simplify right side
    8,724x = 33,610,394.88
  5. Step 5: Solve for x
    x = 33,610,394.88/8,724
  6. Step 6: Final answer
    x = 3,852.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.