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Finding the Fourth Proportional to 6,319.96, 8,709.89 and 5,065.16

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Solution

The fourth proportional to 6,319.96, 8,709.89 and 5,065.16 is: 6,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.96 : 8,709.89 = 5,065.16 : x
  2. Step 2: Convert to fraction form
    6,319.96/8,709.89 = 5,065.16/x
  3. Step 3: Cross multiply
    6,319.96x = 8,709.89 × 5,065.16
  4. Step 4: Simplify right side
    6,319.96x = 44,116,917.56
  5. Step 5: Solve for x
    x = 44,116,917.56/6,319.96
  6. Step 6: Final answer
    x = 6,980.57

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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.