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Finding the Fourth Proportional to 6,428.26, 8,868.37 and 4,189.32

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Solution

The fourth proportional to 6,428.26, 8,868.37 and 4,189.32 is: 5,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.26 : 8,868.37 = 4,189.32 : x
  2. Step 2: Convert to fraction form
    6,428.26/8,868.37 = 4,189.32/x
  3. Step 3: Cross multiply
    6,428.26x = 8,868.37 × 4,189.32
  4. Step 4: Simplify right side
    6,428.26x = 37,152,439.81
  5. Step 5: Solve for x
    x = 37,152,439.81/6,428.26
  6. Step 6: Final answer
    x = 5,779.55

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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.