Home / 4,236-6,353.68-1,314.24

Finding the Fourth Proportional to 4,236, 6,353.68 and 1,314.24

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Solution

The fourth proportional to 4,236, 6,353.68 and 1,314.24 is: 1,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236 : 6,353.68 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    4,236/6,353.68 = 1,314.24/x
  3. Step 3: Cross multiply
    4,236x = 6,353.68 × 1,314.24
  4. Step 4: Simplify right side
    4,236x = 8,350,260.40
  5. Step 5: Solve for x
    x = 8,350,260.40/4,236
  6. Step 6: Final answer
    x = 1,971.26

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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.