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Finding the Fourth Proportional to 38,785, 53,523.30 and 21,121

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Solution

The fourth proportional to 38,785, 53,523.30 and 21,121 is: 29,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,785 : 53,523.30 = 21,121 : x
  2. Step 2: Convert to fraction form
    38,785/53,523.30 = 21,121/x
  3. Step 3: Cross multiply
    38,785x = 53,523.30 × 21,121
  4. Step 4: Simplify right side
    38,785x = 1,130,465,619.30
  5. Step 5: Solve for x
    x = 1,130,465,619.30/38,785
  6. Step 6: Final answer
    x = 29,146.98

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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.