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Finding the Fourth Proportional to 3,447.70, 4,746.15 and 3,115.08

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Solution

The fourth proportional to 3,447.70, 4,746.15 and 3,115.08 is: 4,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.70 : 4,746.15 = 3,115.08 : x
  2. Step 2: Convert to fraction form
    3,447.70/4,746.15 = 3,115.08/x
  3. Step 3: Cross multiply
    3,447.70x = 4,746.15 × 3,115.08
  4. Step 4: Simplify right side
    3,447.70x = 14,784,636.94
  5. Step 5: Solve for x
    x = 14,784,636.94/3,447.70
  6. Step 6: Final answer
    x = 4,288.26

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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.