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Finding the Fourth Proportional to 3,502.22, 5,253.51 and 1,421.91

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Solution

The fourth proportional to 3,502.22, 5,253.51 and 1,421.91 is: 2,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.22 : 5,253.51 = 1,421.91 : x
  2. Step 2: Convert to fraction form
    3,502.22/5,253.51 = 1,421.91/x
  3. Step 3: Cross multiply
    3,502.22x = 5,253.51 × 1,421.91
  4. Step 4: Simplify right side
    3,502.22x = 7,470,018.40
  5. Step 5: Solve for x
    x = 7,470,018.40/3,502.22
  6. Step 6: Final answer
    x = 2,132.94

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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.