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Finding the Fourth Proportional to 20,478.76, 30,717.06 and 10,087

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Solution

The fourth proportional to 20,478.76, 30,717.06 and 10,087 is: 15,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.76 : 30,717.06 = 10,087 : x
  2. Step 2: Convert to fraction form
    20,478.76/30,717.06 = 10,087/x
  3. Step 3: Cross multiply
    20,478.76x = 30,717.06 × 10,087
  4. Step 4: Simplify right side
    20,478.76x = 309,842,984.22
  5. Step 5: Solve for x
    x = 309,842,984.22/20,478.76
  6. Step 6: Final answer
    x = 15,129.97

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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.