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Finding the Fourth Proportional to 38,426, 57,639 and 9,242

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Solution

The fourth proportional to 38,426, 57,639 and 9,242 is: 13,863

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 57,639 = 9,242 : x
  2. Step 2: Convert to fraction form
    38,426/57,639 = 9,242/x
  3. Step 3: Cross multiply
    38,426x = 57,639 × 9,242
  4. Step 4: Simplify right side
    38,426x = 532,699,638
  5. Step 5: Solve for x
    x = 532,699,638/38,426
  6. Step 6: Final answer
    x = 13,863

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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.