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Finding the Fourth Proportional to 6,785.66, 9,359.43 and 5,774.78

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Solution

The fourth proportional to 6,785.66, 9,359.43 and 5,774.78 is: 7,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.66 : 9,359.43 = 5,774.78 : x
  2. Step 2: Convert to fraction form
    6,785.66/9,359.43 = 5,774.78/x
  3. Step 3: Cross multiply
    6,785.66x = 9,359.43 × 5,774.78
  4. Step 4: Simplify right side
    6,785.66x = 54,048,649.18
  5. Step 5: Solve for x
    x = 54,048,649.18/6,785.66
  6. Step 6: Final answer
    x = 7,965.13

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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.