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Finding the Fourth Proportional to 20,579.76, 30,830.76 and 10,159.92

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Solution

The fourth proportional to 20,579.76, 30,830.76 and 10,159.92 is: 15,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,579.76 : 30,830.76 = 10,159.92 : x
  2. Step 2: Convert to fraction form
    20,579.76/30,830.76 = 10,159.92/x
  3. Step 3: Cross multiply
    20,579.76x = 30,830.76 × 10,159.92
  4. Step 4: Simplify right side
    20,579.76x = 313,238,055.14
  5. Step 5: Solve for x
    x = 313,238,055.14/20,579.76
  6. Step 6: Final answer
    x = 15,220.69

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1.5x scale

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.