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Finding the Fourth Proportional to 6,268.50, 9,392.22 and 4,616.10

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Solution

The fourth proportional to 6,268.50, 9,392.22 and 4,616.10 is: 6,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.50 : 9,392.22 = 4,616.10 : x
  2. Step 2: Convert to fraction form
    6,268.50/9,392.22 = 4,616.10/x
  3. Step 3: Cross multiply
    6,268.50x = 9,392.22 × 4,616.10
  4. Step 4: Simplify right side
    6,268.50x = 43,355,426.74
  5. Step 5: Solve for x
    x = 43,355,426.74/6,268.50
  6. Step 6: Final answer
    x = 6,916.40

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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.