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Finding the Fourth Proportional to 10,563.40, 15,881.10 and 8,629.64

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Solution

The fourth proportional to 10,563.40, 15,881.10 and 8,629.64 is: 12,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.40 : 15,881.10 = 8,629.64 : x
  2. Step 2: Convert to fraction form
    10,563.40/15,881.10 = 8,629.64/x
  3. Step 3: Cross multiply
    10,563.40x = 15,881.10 × 8,629.64
  4. Step 4: Simplify right side
    10,563.40x = 137,048,175.80
  5. Step 5: Solve for x
    x = 137,048,175.80/10,563.40
  6. Step 6: Final answer
    x = 12,973.87

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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.