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Finding the Fourth Proportional to 38,600, 57,900 and 9,416

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Solution

The fourth proportional to 38,600, 57,900 and 9,416 is: 14,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600 : 57,900 = 9,416 : x
  2. Step 2: Convert to fraction form
    38,600/57,900 = 9,416/x
  3. Step 3: Cross multiply
    38,600x = 57,900 × 9,416
  4. Step 4: Simplify right side
    38,600x = 545,186,400
  5. Step 5: Solve for x
    x = 545,186,400/38,600
  6. Step 6: Final answer
    x = 14,124

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.