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Finding the Fourth Proportional to 8,359.11, 12,536.10 and 2,811.24

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Solution

The fourth proportional to 8,359.11, 12,536.10 and 2,811.24 is: 4,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.11 : 12,536.10 = 2,811.24 : x
  2. Step 2: Convert to fraction form
    8,359.11/12,536.10 = 2,811.24/x
  3. Step 3: Cross multiply
    8,359.11x = 12,536.10 × 2,811.24
  4. Step 4: Simplify right side
    8,359.11x = 35,241,985.76
  5. Step 5: Solve for x
    x = 35,241,985.76/8,359.11
  6. Step 6: Final answer
    x = 4,216.00

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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.