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Finding the Fourth Proportional to 38,493, 53,120.34 and 21,727.08

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Solution

The fourth proportional to 38,493, 53,120.34 and 21,727.08 is: 29,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493 : 53,120.34 = 21,727.08 : x
  2. Step 2: Convert to fraction form
    38,493/53,120.34 = 21,727.08/x
  3. Step 3: Cross multiply
    38,493x = 53,120.34 × 21,727.08
  4. Step 4: Simplify right side
    38,493x = 1,154,149,876.81
  5. Step 5: Solve for x
    x = 1,154,149,876.81/38,493
  6. Step 6: Final answer
    x = 29,983.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.