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Finding the Fourth Proportional to 8,357.77, 12,531.79 and 3,164.05

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Solution

The fourth proportional to 8,357.77, 12,531.79 and 3,164.05 is: 4,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.77 : 12,531.79 = 3,164.05 : x
  2. Step 2: Convert to fraction form
    8,357.77/12,531.79 = 3,164.05/x
  3. Step 3: Cross multiply
    8,357.77x = 12,531.79 × 3,164.05
  4. Step 4: Simplify right side
    8,357.77x = 39,651,210.15
  5. Step 5: Solve for x
    x = 39,651,210.15/8,357.77
  6. Step 6: Final answer
    x = 4,744.23

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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.