Home / 1,402.26-2,103.21-428.10

Finding the Fourth Proportional to 1,402.26, 2,103.21 and 428.10

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Solution

The fourth proportional to 1,402.26, 2,103.21 and 428.10 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.26 : 2,103.21 = 428.10 : x
  2. Step 2: Convert to fraction form
    1,402.26/2,103.21 = 428.10/x
  3. Step 3: Cross multiply
    1,402.26x = 2,103.21 × 428.10
  4. Step 4: Simplify right side
    1,402.26x = 900,384.20
  5. Step 5: Solve for x
    x = 900,384.20/1,402.26
  6. Step 6: Final answer
    x = 642.10

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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.