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Finding the Fourth Proportional to 20,003.51, 30,009.74 and 7,523.64

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Solution

The fourth proportional to 20,003.51, 30,009.74 and 7,523.64 is: 11,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.51 : 30,009.74 = 7,523.64 : x
  2. Step 2: Convert to fraction form
    20,003.51/30,009.74 = 7,523.64/x
  3. Step 3: Cross multiply
    20,003.51x = 30,009.74 × 7,523.64
  4. Step 4: Simplify right side
    20,003.51x = 225,782,569.28
  5. Step 5: Solve for x
    x = 225,782,569.28/20,003.51
  6. Step 6: Final answer
    x = 11,287.15

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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.