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Finding the Fourth Proportional to 3,157.08, 4,737.78 and 1,619.16

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Solution

The fourth proportional to 3,157.08, 4,737.78 and 1,619.16 is: 2,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.08 : 4,737.78 = 1,619.16 : x
  2. Step 2: Convert to fraction form
    3,157.08/4,737.78 = 1,619.16/x
  3. Step 3: Cross multiply
    3,157.08x = 4,737.78 × 1,619.16
  4. Step 4: Simplify right side
    3,157.08x = 7,671,223.86
  5. Step 5: Solve for x
    x = 7,671,223.86/3,157.08
  6. Step 6: Final answer
    x = 2,429.85

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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.