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Finding the Fourth Proportional to 6,368.68, 9,540.06 and 4,178.44

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Solution

The fourth proportional to 6,368.68, 9,540.06 and 4,178.44 is: 6,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.68 : 9,540.06 = 4,178.44 : x
  2. Step 2: Convert to fraction form
    6,368.68/9,540.06 = 4,178.44/x
  3. Step 3: Cross multiply
    6,368.68x = 9,540.06 × 4,178.44
  4. Step 4: Simplify right side
    6,368.68x = 39,862,568.31
  5. Step 5: Solve for x
    x = 39,862,568.31/6,368.68
  6. Step 6: Final answer
    x = 6,259.16

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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.