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Finding the Fourth Proportional to 22,148.29, 30,565.35 and 13,194.55

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Solution

The fourth proportional to 22,148.29, 30,565.35 and 13,194.55 is: 18,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.29 : 30,565.35 = 13,194.55 : x
  2. Step 2: Convert to fraction form
    22,148.29/30,565.35 = 13,194.55/x
  3. Step 3: Cross multiply
    22,148.29x = 30,565.35 × 13,194.55
  4. Step 4: Simplify right side
    22,148.29x = 403,296,038.84
  5. Step 5: Solve for x
    x = 403,296,038.84/22,148.29
  6. Step 6: Final answer
    x = 18,208.90

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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.