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Finding the Fourth Proportional to 38,707.80, 53,420.94 and 21,939

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Solution

The fourth proportional to 38,707.80, 53,420.94 and 21,939 is: 30,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.80 : 53,420.94 = 21,939 : x
  2. Step 2: Convert to fraction form
    38,707.80/53,420.94 = 21,939/x
  3. Step 3: Cross multiply
    38,707.80x = 53,420.94 × 21,939
  4. Step 4: Simplify right side
    38,707.80x = 1,172,002,002.66
  5. Step 5: Solve for x
    x = 1,172,002,002.66/38,707.80
  6. Step 6: Final answer
    x = 30,278.19

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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.