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Finding the Fourth Proportional to 38,820, 58,230 and 9,636

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Solution

The fourth proportional to 38,820, 58,230 and 9,636 is: 14,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820 : 58,230 = 9,636 : x
  2. Step 2: Convert to fraction form
    38,820/58,230 = 9,636/x
  3. Step 3: Cross multiply
    38,820x = 58,230 × 9,636
  4. Step 4: Simplify right side
    38,820x = 561,104,280
  5. Step 5: Solve for x
    x = 561,104,280/38,820
  6. Step 6: Final answer
    x = 14,454

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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.