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Finding the Fourth Proportional to 21,326, 31,989 and 5,743.63

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Solution

The fourth proportional to 21,326, 31,989 and 5,743.63 is: 8,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,326 : 31,989 = 5,743.63 : x
  2. Step 2: Convert to fraction form
    21,326/31,989 = 5,743.63/x
  3. Step 3: Cross multiply
    21,326x = 31,989 × 5,743.63
  4. Step 4: Simplify right side
    21,326x = 183,732,980.07
  5. Step 5: Solve for x
    x = 183,732,980.07/21,326
  6. Step 6: Final answer
    x = 8,615.45

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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.