Home / 4,209.17-6,314.70-1,398

Finding the Fourth Proportional to 4,209.17, 6,314.70 and 1,398

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Solution

The fourth proportional to 4,209.17, 6,314.70 and 1,398 is: 2,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.17 : 6,314.70 = 1,398 : x
  2. Step 2: Convert to fraction form
    4,209.17/6,314.70 = 1,398/x
  3. Step 3: Cross multiply
    4,209.17x = 6,314.70 × 1,398
  4. Step 4: Simplify right side
    4,209.17x = 8,827,950.60
  5. Step 5: Solve for x
    x = 8,827,950.60/4,209.17
  6. Step 6: Final answer
    x = 2,097.32

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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.