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Finding the Fourth Proportional to 5,107.66, 7,676.78 and 4,235.90

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Solution

The fourth proportional to 5,107.66, 7,676.78 and 4,235.90 is: 6,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.66 : 7,676.78 = 4,235.90 : x
  2. Step 2: Convert to fraction form
    5,107.66/7,676.78 = 4,235.90/x
  3. Step 3: Cross multiply
    5,107.66x = 7,676.78 × 4,235.90
  4. Step 4: Simplify right side
    5,107.66x = 32,518,012.84
  5. Step 5: Solve for x
    x = 32,518,012.84/5,107.66
  6. Step 6: Final answer
    x = 6,366.52

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1.5x scale

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.