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Finding the Fourth Proportional to 4,140, 6,209.82 and 2,059.20

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Solution

The fourth proportional to 4,140, 6,209.82 and 2,059.20 is: 3,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 6,209.82 = 2,059.20 : x
  2. Step 2: Convert to fraction form
    4,140/6,209.82 = 2,059.20/x
  3. Step 3: Cross multiply
    4,140x = 6,209.82 × 2,059.20
  4. Step 4: Simplify right side
    4,140x = 12,787,261.34
  5. Step 5: Solve for x
    x = 12,787,261.34/4,140
  6. Step 6: Final answer
    x = 3,088.71

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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.