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Finding the Fourth Proportional to 21,254.96, 31,882.68 and 6,464

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Solution

The fourth proportional to 21,254.96, 31,882.68 and 6,464 is: 9,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.96 : 31,882.68 = 6,464 : x
  2. Step 2: Convert to fraction form
    21,254.96/31,882.68 = 6,464/x
  3. Step 3: Cross multiply
    21,254.96x = 31,882.68 × 6,464
  4. Step 4: Simplify right side
    21,254.96x = 206,089,643.52
  5. Step 5: Solve for x
    x = 206,089,643.52/21,254.96
  6. Step 6: Final answer
    x = 9,696.07

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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.