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Finding the Fourth Proportional to 6,478.80, 8,936.01 and 4,237.08

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Solution

The fourth proportional to 6,478.80, 8,936.01 and 4,237.08 is: 5,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.80 : 8,936.01 = 4,237.08 : x
  2. Step 2: Convert to fraction form
    6,478.80/8,936.01 = 4,237.08/x
  3. Step 3: Cross multiply
    6,478.80x = 8,936.01 × 4,237.08
  4. Step 4: Simplify right side
    6,478.80x = 37,862,589.25
  5. Step 5: Solve for x
    x = 37,862,589.25/6,478.80
  6. Step 6: Final answer
    x = 5,844.07

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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.