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Finding the Fourth Proportional to 8,429.80, 12,655.10 and 5,309.80

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Solution

The fourth proportional to 8,429.80, 12,655.10 and 5,309.80 is: 7,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.80 : 12,655.10 = 5,309.80 : x
  2. Step 2: Convert to fraction form
    8,429.80/12,655.10 = 5,309.80/x
  3. Step 3: Cross multiply
    8,429.80x = 12,655.10 × 5,309.80
  4. Step 4: Simplify right side
    8,429.80x = 67,196,049.98
  5. Step 5: Solve for x
    x = 67,196,049.98/8,429.80
  6. Step 6: Final answer
    x = 7,971.25

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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.