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Finding the Fourth Proportional to 6,879.66, 10,314.42 and 5,565.06

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Solution

The fourth proportional to 6,879.66, 10,314.42 and 5,565.06 is: 8,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.66 : 10,314.42 = 5,565.06 : x
  2. Step 2: Convert to fraction form
    6,879.66/10,314.42 = 5,565.06/x
  3. Step 3: Cross multiply
    6,879.66x = 10,314.42 × 5,565.06
  4. Step 4: Simplify right side
    6,879.66x = 57,400,366.17
  5. Step 5: Solve for x
    x = 57,400,366.17/6,879.66
  6. Step 6: Final answer
    x = 8,343.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.