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Finding the Fourth Proportional to 3,501.22, 5,252.01 and 1,420.91

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Solution

The fourth proportional to 3,501.22, 5,252.01 and 1,420.91 is: 2,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.22 : 5,252.01 = 1,420.91 : x
  2. Step 2: Convert to fraction form
    3,501.22/5,252.01 = 1,420.91/x
  3. Step 3: Cross multiply
    3,501.22x = 5,252.01 × 1,420.91
  4. Step 4: Simplify right side
    3,501.22x = 7,462,633.53
  5. Step 5: Solve for x
    x = 7,462,633.53/3,501.22
  6. Step 6: Final answer
    x = 2,131.44

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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.