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Finding the Fourth Proportional to 8,263.44, 12,389.10 and 5,305.22

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Solution

The fourth proportional to 8,263.44, 12,389.10 and 5,305.22 is: 7,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.44 : 12,389.10 = 5,305.22 : x
  2. Step 2: Convert to fraction form
    8,263.44/12,389.10 = 5,305.22/x
  3. Step 3: Cross multiply
    8,263.44x = 12,389.10 × 5,305.22
  4. Step 4: Simplify right side
    8,263.44x = 65,726,901.10
  5. Step 5: Solve for x
    x = 65,726,901.10/8,263.44
  6. Step 6: Final answer
    x = 7,953.94

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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.