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Finding the Fourth Proportional to 10,869, 14,998.42 and 6,152.38

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Solution

The fourth proportional to 10,869, 14,998.42 and 6,152.38 is: 8,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869 : 14,998.42 = 6,152.38 : x
  2. Step 2: Convert to fraction form
    10,869/14,998.42 = 6,152.38/x
  3. Step 3: Cross multiply
    10,869x = 14,998.42 × 6,152.38
  4. Step 4: Simplify right side
    10,869x = 92,275,979.24
  5. Step 5: Solve for x
    x = 92,275,979.24/10,869
  6. Step 6: Final answer
    x = 8,489.83

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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.