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Finding the Fourth Proportional to 1,402.13, 2,103.27 and 536.38

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Solution

The fourth proportional to 1,402.13, 2,103.27 and 536.38 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.13 : 2,103.27 = 536.38 : x
  2. Step 2: Convert to fraction form
    1,402.13/2,103.27 = 536.38/x
  3. Step 3: Cross multiply
    1,402.13x = 2,103.27 × 536.38
  4. Step 4: Simplify right side
    1,402.13x = 1,128,138.76
  5. Step 5: Solve for x
    x = 1,128,138.76/1,402.13
  6. Step 6: Final answer
    x = 804.59

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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.