Home / 4,209.34-6,314-1,434.68

Finding the Fourth Proportional to 4,209.34, 6,314 and 1,434.68

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Solution

The fourth proportional to 4,209.34, 6,314 and 1,434.68 is: 2,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.34 : 6,314 = 1,434.68 : x
  2. Step 2: Convert to fraction form
    4,209.34/6,314 = 1,434.68/x
  3. Step 3: Cross multiply
    4,209.34x = 6,314 × 1,434.68
  4. Step 4: Simplify right side
    4,209.34x = 9,058,569.52
  5. Step 5: Solve for x
    x = 9,058,569.52/4,209.34
  6. Step 6: Final answer
    x = 2,152.02

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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.