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Finding the Fourth Proportional to 20,659.13, 30,971.42 and 9,573.76

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Solution

The fourth proportional to 20,659.13, 30,971.42 and 9,573.76 is: 14,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.13 : 30,971.42 = 9,573.76 : x
  2. Step 2: Convert to fraction form
    20,659.13/30,971.42 = 9,573.76/x
  3. Step 3: Cross multiply
    20,659.13x = 30,971.42 × 9,573.76
  4. Step 4: Simplify right side
    20,659.13x = 296,512,941.94
  5. Step 5: Solve for x
    x = 296,512,941.94/20,659.13
  6. Step 6: Final answer
    x = 14,352.63

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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.