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Finding the Fourth Proportional to 8,083.20, 11,142.06 and 7,405.20

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Solution

The fourth proportional to 8,083.20, 11,142.06 and 7,405.20 is: 10,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.20 : 11,142.06 = 7,405.20 : x
  2. Step 2: Convert to fraction form
    8,083.20/11,142.06 = 7,405.20/x
  3. Step 3: Cross multiply
    8,083.20x = 11,142.06 × 7,405.20
  4. Step 4: Simplify right side
    8,083.20x = 82,509,182.71
  5. Step 5: Solve for x
    x = 82,509,182.71/8,083.20
  6. Step 6: Final answer
    x = 10,207.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.