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Finding the Fourth Proportional to 22,884, 31,575.74 and 12,812.60

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Solution

The fourth proportional to 22,884, 31,575.74 and 12,812.60 is: 17,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 31,575.74 = 12,812.60 : x
  2. Step 2: Convert to fraction form
    22,884/31,575.74 = 12,812.60/x
  3. Step 3: Cross multiply
    22,884x = 31,575.74 × 12,812.60
  4. Step 4: Simplify right side
    22,884x = 404,567,326.32
  5. Step 5: Solve for x
    x = 404,567,326.32/22,884
  6. Step 6: Final answer
    x = 17,679.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.