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Finding the Fourth Proportional to 10,998.73, 16,476.82 and 6,840.40

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Solution

The fourth proportional to 10,998.73, 16,476.82 and 6,840.40 is: 10,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.73 : 16,476.82 = 6,840.40 : x
  2. Step 2: Convert to fraction form
    10,998.73/16,476.82 = 6,840.40/x
  3. Step 3: Cross multiply
    10,998.73x = 16,476.82 × 6,840.40
  4. Step 4: Simplify right side
    10,998.73x = 112,708,039.53
  5. Step 5: Solve for x
    x = 112,708,039.53/10,998.73
  6. Step 6: Final answer
    x = 10,247.37

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1.5x scale

Why These Related Problems?

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