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Finding the Fourth Proportional to 20,697.50, 31,053.54 and 9,009.20

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Solution

The fourth proportional to 20,697.50, 31,053.54 and 9,009.20 is: 13,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.50 : 31,053.54 = 9,009.20 : x
  2. Step 2: Convert to fraction form
    20,697.50/31,053.54 = 9,009.20/x
  3. Step 3: Cross multiply
    20,697.50x = 31,053.54 × 9,009.20
  4. Step 4: Simplify right side
    20,697.50x = 279,767,552.57
  5. Step 5: Solve for x
    x = 279,767,552.57/20,697.50
  6. Step 6: Final answer
    x = 13,516.97

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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.