Home / 4,140-6,206.22-3,779.28

Finding the Fourth Proportional to 4,140, 6,206.22 and 3,779.28

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Solution

The fourth proportional to 4,140, 6,206.22 and 3,779.28 is: 5,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 6,206.22 = 3,779.28 : x
  2. Step 2: Convert to fraction form
    4,140/6,206.22 = 3,779.28/x
  3. Step 3: Cross multiply
    4,140x = 6,206.22 × 3,779.28
  4. Step 4: Simplify right side
    4,140x = 23,455,043.12
  5. Step 5: Solve for x
    x = 23,455,043.12/4,140
  6. Step 6: Final answer
    x = 5,665.47

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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.