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Finding the Fourth Proportional to 10,326, 15,489 and 4,170

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Solution

The fourth proportional to 10,326, 15,489 and 4,170 is: 6,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326 : 15,489 = 4,170 : x
  2. Step 2: Convert to fraction form
    10,326/15,489 = 4,170/x
  3. Step 3: Cross multiply
    10,326x = 15,489 × 4,170
  4. Step 4: Simplify right side
    10,326x = 64,589,130
  5. Step 5: Solve for x
    x = 64,589,130/10,326
  6. Step 6: Final answer
    x = 6,255

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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.