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Finding the Fourth Proportional to 6,416.00, 8,858.25 and 5,742.65

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Solution

The fourth proportional to 6,416.00, 8,858.25 and 5,742.65 is: 7,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.00 : 8,858.25 = 5,742.65 : x
  2. Step 2: Convert to fraction form
    6,416.00/8,858.25 = 5,742.65/x
  3. Step 3: Cross multiply
    6,416.00x = 8,858.25 × 5,742.65
  4. Step 4: Simplify right side
    6,416.00x = 50,869,793.60
  5. Step 5: Solve for x
    x = 50,869,793.60/6,416.00
  6. Step 6: Final answer
    x = 7,928.59

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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.