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Finding the Fourth Proportional to 4,820, 6,611.60 and 4,778.40

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Solution

The fourth proportional to 4,820, 6,611.60 and 4,778.40 is: 6,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 6,611.60 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    4,820/6,611.60 = 4,778.40/x
  3. Step 3: Cross multiply
    4,820x = 6,611.60 × 4,778.40
  4. Step 4: Simplify right side
    4,820x = 31,592,869.44
  5. Step 5: Solve for x
    x = 31,592,869.44/4,820
  6. Step 6: Final answer
    x = 6,554.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.