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Finding the Fourth Proportional to 8,309.10, 12,455.55 and 7,434.30

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Solution

The fourth proportional to 8,309.10, 12,455.55 and 7,434.30 is: 11,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.10 : 12,455.55 = 7,434.30 : x
  2. Step 2: Convert to fraction form
    8,309.10/12,455.55 = 7,434.30/x
  3. Step 3: Cross multiply
    8,309.10x = 12,455.55 × 7,434.30
  4. Step 4: Simplify right side
    8,309.10x = 92,598,295.37
  5. Step 5: Solve for x
    x = 92,598,295.37/8,309.10
  6. Step 6: Final answer
    x = 11,144.20

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1.5x scale

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.