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Finding the Fourth Proportional to 6,876.36, 9,478.62 and 5,755.32

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Solution

The fourth proportional to 6,876.36, 9,478.62 and 5,755.32 is: 7,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.36 : 9,478.62 = 5,755.32 : x
  2. Step 2: Convert to fraction form
    6,876.36/9,478.62 = 5,755.32/x
  3. Step 3: Cross multiply
    6,876.36x = 9,478.62 × 5,755.32
  4. Step 4: Simplify right side
    6,876.36x = 54,552,491.26
  5. Step 5: Solve for x
    x = 54,552,491.26/6,876.36
  6. Step 6: Final answer
    x = 7,933.34

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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.