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Finding the Fourth Proportional to 38,424, 57,636 and 9,240

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Solution

The fourth proportional to 38,424, 57,636 and 9,240 is: 13,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424 : 57,636 = 9,240 : x
  2. Step 2: Convert to fraction form
    38,424/57,636 = 9,240/x
  3. Step 3: Cross multiply
    38,424x = 57,636 × 9,240
  4. Step 4: Simplify right side
    38,424x = 532,556,640
  5. Step 5: Solve for x
    x = 532,556,640/38,424
  6. Step 6: Final answer
    x = 13,860

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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.