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Finding the Fourth Proportional to 7,887.38, 10,877.72 and 6,824.80

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Solution

The fourth proportional to 7,887.38, 10,877.72 and 6,824.80 is: 9,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.38 : 10,877.72 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    7,887.38/10,877.72 = 6,824.80/x
  3. Step 3: Cross multiply
    7,887.38x = 10,877.72 × 6,824.80
  4. Step 4: Simplify right side
    7,887.38x = 74,238,202.14
  5. Step 5: Solve for x
    x = 74,238,202.14/7,887.38
  6. Step 6: Final answer
    x = 9,412.28

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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.