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Finding the Fourth Proportional to 4,856.64, 6,702.16 and 2,760.80

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Solution

The fourth proportional to 4,856.64, 6,702.16 and 2,760.80 is: 3,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.64 : 6,702.16 = 2,760.80 : x
  2. Step 2: Convert to fraction form
    4,856.64/6,702.16 = 2,760.80/x
  3. Step 3: Cross multiply
    4,856.64x = 6,702.16 × 2,760.80
  4. Step 4: Simplify right side
    4,856.64x = 18,503,323.33
  5. Step 5: Solve for x
    x = 18,503,323.33/4,856.64
  6. Step 6: Final answer
    x = 3,809.90

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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.