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Finding the Fourth Proportional to 12,530.22, 17,293.77 and 9,540.42

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Solution

The fourth proportional to 12,530.22, 17,293.77 and 9,540.42 is: 13,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.22 : 17,293.77 = 9,540.42 : x
  2. Step 2: Convert to fraction form
    12,530.22/17,293.77 = 9,540.42/x
  3. Step 3: Cross multiply
    12,530.22x = 17,293.77 × 9,540.42
  4. Step 4: Simplify right side
    12,530.22x = 164,989,829.18
  5. Step 5: Solve for x
    x = 164,989,829.18/12,530.22
  6. Step 6: Final answer
    x = 13,167.35

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