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Finding the Fourth Proportional to 10,287, 14,196.60 and 6,755.40

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Solution

The fourth proportional to 10,287, 14,196.60 and 6,755.40 is: 9,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287 : 14,196.60 = 6,755.40 : x
  2. Step 2: Convert to fraction form
    10,287/14,196.60 = 6,755.40/x
  3. Step 3: Cross multiply
    10,287x = 14,196.60 × 6,755.40
  4. Step 4: Simplify right side
    10,287x = 95,903,711.64
  5. Step 5: Solve for x
    x = 95,903,711.64/10,287
  6. Step 6: Final answer
    x = 9,322.81

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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.