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Finding the Fourth Proportional to 4,696.80, 6,478.74 and 3,102.86

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Solution

The fourth proportional to 4,696.80, 6,478.74 and 3,102.86 is: 4,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.80 : 6,478.74 = 3,102.86 : x
  2. Step 2: Convert to fraction form
    4,696.80/6,478.74 = 3,102.86/x
  3. Step 3: Cross multiply
    4,696.80x = 6,478.74 × 3,102.86
  4. Step 4: Simplify right side
    4,696.80x = 20,102,623.20
  5. Step 5: Solve for x
    x = 20,102,623.20/4,696.80
  6. Step 6: Final answer
    x = 4,280.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.