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Finding the Fourth Proportional to 10,424, 15,636.28 and 2,632.88

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Solution

The fourth proportional to 10,424, 15,636.28 and 2,632.88 is: 3,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 15,636.28 = 2,632.88 : x
  2. Step 2: Convert to fraction form
    10,424/15,636.28 = 2,632.88/x
  3. Step 3: Cross multiply
    10,424x = 15,636.28 × 2,632.88
  4. Step 4: Simplify right side
    10,424x = 41,168,448.89
  5. Step 5: Solve for x
    x = 41,168,448.89/10,424
  6. Step 6: Final answer
    x = 3,949.39

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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.