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Finding the Fourth Proportional to 38,523.75, 53,161.75 and 21,528.13

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Solution

The fourth proportional to 38,523.75, 53,161.75 and 21,528.13 is: 29,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.75 : 53,161.75 = 21,528.13 : x
  2. Step 2: Convert to fraction form
    38,523.75/53,161.75 = 21,528.13/x
  3. Step 3: Cross multiply
    38,523.75x = 53,161.75 × 21,528.13
  4. Step 4: Simplify right side
    38,523.75x = 1,144,473,065.03
  5. Step 5: Solve for x
    x = 1,144,473,065.03/38,523.75
  6. Step 6: Final answer
    x = 29,708.25

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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.