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Finding the Fourth Proportional to 3,671.10, 5,506.72 and 1,478.32

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Solution

The fourth proportional to 3,671.10, 5,506.72 and 1,478.32 is: 2,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.10 : 5,506.72 = 1,478.32 : x
  2. Step 2: Convert to fraction form
    3,671.10/5,506.72 = 1,478.32/x
  3. Step 3: Cross multiply
    3,671.10x = 5,506.72 × 1,478.32
  4. Step 4: Simplify right side
    3,671.10x = 8,140,676.85
  5. Step 5: Solve for x
    x = 8,140,676.85/3,671.10
  6. Step 6: Final answer
    x = 2,217.50

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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.