Home / 4,116-6,174.32-1,684

Finding the Fourth Proportional to 4,116, 6,174.32 and 1,684

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Solution

The fourth proportional to 4,116, 6,174.32 and 1,684 is: 2,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,174.32 = 1,684 : x
  2. Step 2: Convert to fraction form
    4,116/6,174.32 = 1,684/x
  3. Step 3: Cross multiply
    4,116x = 6,174.32 × 1,684
  4. Step 4: Simplify right side
    4,116x = 10,397,554.88
  5. Step 5: Solve for x
    x = 10,397,554.88/4,116
  6. Step 6: Final answer
    x = 2,526.13

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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.