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Finding the Fourth Proportional to 4,424.08, 6,640.20 and 1,827.20

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Solution

The fourth proportional to 4,424.08, 6,640.20 and 1,827.20 is: 2,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.08 : 6,640.20 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    4,424.08/6,640.20 = 1,827.20/x
  3. Step 3: Cross multiply
    4,424.08x = 6,640.20 × 1,827.20
  4. Step 4: Simplify right side
    4,424.08x = 12,132,973.44
  5. Step 5: Solve for x
    x = 12,132,973.44/4,424.08
  6. Step 6: Final answer
    x = 2,742.49

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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.