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Finding the Fourth Proportional to 8,138.31, 11,230.88 and 4,412.31

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Solution

The fourth proportional to 8,138.31, 11,230.88 and 4,412.31 is: 6,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.31 : 11,230.88 = 4,412.31 : x
  2. Step 2: Convert to fraction form
    8,138.31/11,230.88 = 4,412.31/x
  3. Step 3: Cross multiply
    8,138.31x = 11,230.88 × 4,412.31
  4. Step 4: Simplify right side
    8,138.31x = 49,554,124.13
  5. Step 5: Solve for x
    x = 49,554,124.13/8,138.31
  6. Step 6: Final answer
    x = 6,088.99

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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.