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Finding the Fourth Proportional to 12,252.60, 16,911 and 7,781.58

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Solution

The fourth proportional to 12,252.60, 16,911 and 7,781.58 is: 10,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.60 : 16,911 = 7,781.58 : x
  2. Step 2: Convert to fraction form
    12,252.60/16,911 = 7,781.58/x
  3. Step 3: Cross multiply
    12,252.60x = 16,911 × 7,781.58
  4. Step 4: Simplify right side
    12,252.60x = 131,594,299.38
  5. Step 5: Solve for x
    x = 131,594,299.38/12,252.60
  6. Step 6: Final answer
    x = 10,740.11

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1.5x scale

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.