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Finding the Fourth Proportional to 21,146, 31,719 and 6,554

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Solution

The fourth proportional to 21,146, 31,719 and 6,554 is: 9,831

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146 : 31,719 = 6,554 : x
  2. Step 2: Convert to fraction form
    21,146/31,719 = 6,554/x
  3. Step 3: Cross multiply
    21,146x = 31,719 × 6,554
  4. Step 4: Simplify right side
    21,146x = 207,886,326
  5. Step 5: Solve for x
    x = 207,886,326/21,146
  6. Step 6: Final answer
    x = 9,831

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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.