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Finding the Fourth Proportional to 6,176.60, 9,264.90 and 4,218.20

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Solution

The fourth proportional to 6,176.60, 9,264.90 and 4,218.20 is: 6,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.60 : 9,264.90 = 4,218.20 : x
  2. Step 2: Convert to fraction form
    6,176.60/9,264.90 = 4,218.20/x
  3. Step 3: Cross multiply
    6,176.60x = 9,264.90 × 4,218.20
  4. Step 4: Simplify right side
    6,176.60x = 39,081,201.18
  5. Step 5: Solve for x
    x = 39,081,201.18/6,176.60
  6. Step 6: Final answer
    x = 6,327.30

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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.