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Finding the Fourth Proportional to 3,502.66, 5,252.52 and 1,421.21

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Solution

The fourth proportional to 3,502.66, 5,252.52 and 1,421.21 is: 2,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.66 : 5,252.52 = 1,421.21 : x
  2. Step 2: Convert to fraction form
    3,502.66/5,252.52 = 1,421.21/x
  3. Step 3: Cross multiply
    3,502.66x = 5,252.52 × 1,421.21
  4. Step 4: Simplify right side
    3,502.66x = 7,464,926.25
  5. Step 5: Solve for x
    x = 7,464,926.25/3,502.66
  6. Step 6: Final answer
    x = 2,131.22

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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.