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Finding the Fourth Proportional to 4,289.76, 6,467.76 and 3,434.40

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Solution

The fourth proportional to 4,289.76, 6,467.76 and 3,434.40 is: 5,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.76 : 6,467.76 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    4,289.76/6,467.76 = 3,434.40/x
  3. Step 3: Cross multiply
    4,289.76x = 6,467.76 × 3,434.40
  4. Step 4: Simplify right side
    4,289.76x = 22,212,874.94
  5. Step 5: Solve for x
    x = 22,212,874.94/4,289.76
  6. Step 6: Final answer
    x = 5,178.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.