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Finding the Fourth Proportional to 3,156, 4,727.90 and 1,509.26

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Solution

The fourth proportional to 3,156, 4,727.90 and 1,509.26 is: 2,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156 : 4,727.90 = 1,509.26 : x
  2. Step 2: Convert to fraction form
    3,156/4,727.90 = 1,509.26/x
  3. Step 3: Cross multiply
    3,156x = 4,727.90 × 1,509.26
  4. Step 4: Simplify right side
    3,156x = 7,135,630.35
  5. Step 5: Solve for x
    x = 7,135,630.35/3,156
  6. Step 6: Final answer
    x = 2,260.97

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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.