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Finding the Fourth Proportional to 12,310.67, 16,989.14 and 7,005.38

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Solution

The fourth proportional to 12,310.67, 16,989.14 and 7,005.38 is: 9,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.67 : 16,989.14 = 7,005.38 : x
  2. Step 2: Convert to fraction form
    12,310.67/16,989.14 = 7,005.38/x
  3. Step 3: Cross multiply
    12,310.67x = 16,989.14 × 7,005.38
  4. Step 4: Simplify right side
    12,310.67x = 119,015,261.60
  5. Step 5: Solve for x
    x = 119,015,261.60/12,310.67
  6. Step 6: Final answer
    x = 9,667.65

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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.