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Finding the Fourth Proportional to 12,176.34, 18,265.19 and 3,411.93

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Solution

The fourth proportional to 12,176.34, 18,265.19 and 3,411.93 is: 5,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.34 : 18,265.19 = 3,411.93 : x
  2. Step 2: Convert to fraction form
    12,176.34/18,265.19 = 3,411.93/x
  3. Step 3: Cross multiply
    12,176.34x = 18,265.19 × 3,411.93
  4. Step 4: Simplify right side
    12,176.34x = 62,319,549.72
  5. Step 5: Solve for x
    x = 62,319,549.72/12,176.34
  6. Step 6: Final answer
    x = 5,118.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.