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Finding the Fourth Proportional to 6,101.51, 8,420.03 and 3,412.70

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Solution

The fourth proportional to 6,101.51, 8,420.03 and 3,412.70 is: 4,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.51 : 8,420.03 = 3,412.70 : x
  2. Step 2: Convert to fraction form
    6,101.51/8,420.03 = 3,412.70/x
  3. Step 3: Cross multiply
    6,101.51x = 8,420.03 × 3,412.70
  4. Step 4: Simplify right side
    6,101.51x = 28,735,034.39
  5. Step 5: Solve for x
    x = 28,735,034.39/6,101.51
  6. Step 6: Final answer
    x = 4,709.49

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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.