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Finding the Fourth Proportional to 8,563.12, 12,802.49 and 7,261.40

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Solution

The fourth proportional to 8,563.12, 12,802.49 and 7,261.40 is: 10,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.12 : 12,802.49 = 7,261.40 : x
  2. Step 2: Convert to fraction form
    8,563.12/12,802.49 = 7,261.40/x
  3. Step 3: Cross multiply
    8,563.12x = 12,802.49 × 7,261.40
  4. Step 4: Simplify right side
    8,563.12x = 92,964,000.89
  5. Step 5: Solve for x
    x = 92,964,000.89/8,563.12
  6. Step 6: Final answer
    x = 10,856.32

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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.