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Finding the Fourth Proportional to 3,473.89, 4,800.14 and 3,031.09

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Solution

The fourth proportional to 3,473.89, 4,800.14 and 3,031.09 is: 4,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.89 : 4,800.14 = 3,031.09 : x
  2. Step 2: Convert to fraction form
    3,473.89/4,800.14 = 3,031.09/x
  3. Step 3: Cross multiply
    3,473.89x = 4,800.14 × 3,031.09
  4. Step 4: Simplify right side
    3,473.89x = 14,549,656.35
  5. Step 5: Solve for x
    x = 14,549,656.35/3,473.89
  6. Step 6: Final answer
    x = 4,188.29

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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.