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Finding the Fourth Proportional to 4,255, 6,382.46 and 2,319.50

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Solution

The fourth proportional to 4,255, 6,382.46 and 2,319.50 is: 3,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255 : 6,382.46 = 2,319.50 : x
  2. Step 2: Convert to fraction form
    4,255/6,382.46 = 2,319.50/x
  3. Step 3: Cross multiply
    4,255x = 6,382.46 × 2,319.50
  4. Step 4: Simplify right side
    4,255x = 14,804,115.97
  5. Step 5: Solve for x
    x = 14,804,115.97/4,255
  6. Step 6: Final answer
    x = 3,479.23

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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.