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Finding the Fourth Proportional to 3,499.74, 5,249.07 and 1,420.74

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Solution

The fourth proportional to 3,499.74, 5,249.07 and 1,420.74 is: 2,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.74 : 5,249.07 = 1,420.74 : x
  2. Step 2: Convert to fraction form
    3,499.74/5,249.07 = 1,420.74/x
  3. Step 3: Cross multiply
    3,499.74x = 5,249.07 × 1,420.74
  4. Step 4: Simplify right side
    3,499.74x = 7,457,563.71
  5. Step 5: Solve for x
    x = 7,457,563.71/3,499.74
  6. Step 6: Final answer
    x = 2,130.89

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1.5x scale

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.