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Finding the Fourth Proportional to 20,587.50, 30,881.52 and 6,736.50

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Solution

The fourth proportional to 20,587.50, 30,881.52 and 6,736.50 is: 10,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.50 : 30,881.52 = 6,736.50 : x
  2. Step 2: Convert to fraction form
    20,587.50/30,881.52 = 6,736.50/x
  3. Step 3: Cross multiply
    20,587.50x = 30,881.52 × 6,736.50
  4. Step 4: Simplify right side
    20,587.50x = 208,033,359.48
  5. Step 5: Solve for x
    x = 208,033,359.48/20,587.50
  6. Step 6: Final answer
    x = 10,104.84

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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.