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Finding the Fourth Proportional to 7,887.75, 10,880.82 and 6,783.30

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Solution

The fourth proportional to 7,887.75, 10,880.82 and 6,783.30 is: 9,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.75 : 10,880.82 = 6,783.30 : x
  2. Step 2: Convert to fraction form
    7,887.75/10,880.82 = 6,783.30/x
  3. Step 3: Cross multiply
    7,887.75x = 10,880.82 × 6,783.30
  4. Step 4: Simplify right side
    7,887.75x = 73,807,866.31
  5. Step 5: Solve for x
    x = 73,807,866.31/7,887.75
  6. Step 6: Final answer
    x = 9,357.28

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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.