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Finding the Fourth Proportional to 4,627.58, 6,940.12 and 2,160

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Solution

The fourth proportional to 4,627.58, 6,940.12 and 2,160 is: 3,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.58 : 6,940.12 = 2,160 : x
  2. Step 2: Convert to fraction form
    4,627.58/6,940.12 = 2,160/x
  3. Step 3: Cross multiply
    4,627.58x = 6,940.12 × 2,160
  4. Step 4: Simplify right side
    4,627.58x = 14,990,659.20
  5. Step 5: Solve for x
    x = 14,990,659.20/4,627.58
  6. Step 6: Final answer
    x = 3,239.42

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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.