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Finding the Fourth Proportional to 38,509, 57,763.74 and 13,885

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Solution

The fourth proportional to 38,509, 57,763.74 and 13,885 is: 20,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509 : 57,763.74 = 13,885 : x
  2. Step 2: Convert to fraction form
    38,509/57,763.74 = 13,885/x
  3. Step 3: Cross multiply
    38,509x = 57,763.74 × 13,885
  4. Step 4: Simplify right side
    38,509x = 802,049,529.90
  5. Step 5: Solve for x
    x = 802,049,529.90/38,509
  6. Step 6: Final answer
    x = 20,827.59

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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.