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Finding the Fourth Proportional to 6,101.70, 8,421.03 and 5,105.22

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Solution

The fourth proportional to 6,101.70, 8,421.03 and 5,105.22 is: 7,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 8,421.03 = 5,105.22 : x
  2. Step 2: Convert to fraction form
    6,101.70/8,421.03 = 5,105.22/x
  3. Step 3: Cross multiply
    6,101.70x = 8,421.03 × 5,105.22
  4. Step 4: Simplify right side
    6,101.70x = 42,991,210.78
  5. Step 5: Solve for x
    x = 42,991,210.78/6,101.70
  6. Step 6: Final answer
    x = 7,045.78

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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.