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Finding the Fourth Proportional to 6,782.85, 9,356.43 and 4,892.31

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Solution

The fourth proportional to 6,782.85, 9,356.43 and 4,892.31 is: 6,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.85 : 9,356.43 = 4,892.31 : x
  2. Step 2: Convert to fraction form
    6,782.85/9,356.43 = 4,892.31/x
  3. Step 3: Cross multiply
    6,782.85x = 9,356.43 × 4,892.31
  4. Step 4: Simplify right side
    6,782.85x = 45,774,556.05
  5. Step 5: Solve for x
    x = 45,774,556.05/6,782.85
  6. Step 6: Final answer
    x = 6,748.57

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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.