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Finding the Fourth Proportional to 8,568.84, 12,828.47 and 5,271.92

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Solution

The fourth proportional to 8,568.84, 12,828.47 and 5,271.92 is: 7,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.84 : 12,828.47 = 5,271.92 : x
  2. Step 2: Convert to fraction form
    8,568.84/12,828.47 = 5,271.92/x
  3. Step 3: Cross multiply
    8,568.84x = 12,828.47 × 5,271.92
  4. Step 4: Simplify right side
    8,568.84x = 67,630,577.06
  5. Step 5: Solve for x
    x = 67,630,577.06/8,568.84
  6. Step 6: Final answer
    x = 7,892.62

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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.