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Finding the Fourth Proportional to 3,467.50, 4,780.57 and 2,905.57

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Solution

The fourth proportional to 3,467.50, 4,780.57 and 2,905.57 is: 4,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.50 : 4,780.57 = 2,905.57 : x
  2. Step 2: Convert to fraction form
    3,467.50/4,780.57 = 2,905.57/x
  3. Step 3: Cross multiply
    3,467.50x = 4,780.57 × 2,905.57
  4. Step 4: Simplify right side
    3,467.50x = 13,890,280.77
  5. Step 5: Solve for x
    x = 13,890,280.77/3,467.50
  6. Step 6: Final answer
    x = 4,005.85

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1.5x scale

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.