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Finding the Fourth Proportional to 21,314.83, 31,971.07 and 6,523.74

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Solution

The fourth proportional to 21,314.83, 31,971.07 and 6,523.74 is: 9,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.83 : 31,971.07 = 6,523.74 : x
  2. Step 2: Convert to fraction form
    21,314.83/31,971.07 = 6,523.74/x
  3. Step 3: Cross multiply
    21,314.83x = 31,971.07 × 6,523.74
  4. Step 4: Simplify right side
    21,314.83x = 208,570,948.20
  5. Step 5: Solve for x
    x = 208,570,948.20/21,314.83
  6. Step 6: Final answer
    x = 9,785.25

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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.