Home / 3,438.64-4,743.84-2,289.16

Finding the Fourth Proportional to 3,438.64, 4,743.84 and 2,289.16

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Solution

The fourth proportional to 3,438.64, 4,743.84 and 2,289.16 is: 3,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.64 : 4,743.84 = 2,289.16 : x
  2. Step 2: Convert to fraction form
    3,438.64/4,743.84 = 2,289.16/x
  3. Step 3: Cross multiply
    3,438.64x = 4,743.84 × 2,289.16
  4. Step 4: Simplify right side
    3,438.64x = 10,859,408.77
  5. Step 5: Solve for x
    x = 10,859,408.77/3,438.64
  6. Step 6: Final answer
    x = 3,158.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.