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Finding the Fourth Proportional to 21,670, 32,505 and 5,254

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Solution

The fourth proportional to 21,670, 32,505 and 5,254 is: 7,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670 : 32,505 = 5,254 : x
  2. Step 2: Convert to fraction form
    21,670/32,505 = 5,254/x
  3. Step 3: Cross multiply
    21,670x = 32,505 × 5,254
  4. Step 4: Simplify right side
    21,670x = 170,781,270
  5. Step 5: Solve for x
    x = 170,781,270/21,670
  6. Step 6: Final answer
    x = 7,881

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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.