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Finding the Fourth Proportional to 4,600.80, 6,382.80 and 4,406.40

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Solution

The fourth proportional to 4,600.80, 6,382.80 and 4,406.40 is: 6,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.80 : 6,382.80 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    4,600.80/6,382.80 = 4,406.40/x
  3. Step 3: Cross multiply
    4,600.80x = 6,382.80 × 4,406.40
  4. Step 4: Simplify right side
    4,600.80x = 28,125,169.92
  5. Step 5: Solve for x
    x = 28,125,169.92/4,600.80
  6. Step 6: Final answer
    x = 6,113.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.