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Finding the Fourth Proportional to 1,838.35, 2,536.85 and 999.03

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Solution

The fourth proportional to 1,838.35, 2,536.85 and 999.03 is: 1,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.35 : 2,536.85 = 999.03 : x
  2. Step 2: Convert to fraction form
    1,838.35/2,536.85 = 999.03/x
  3. Step 3: Cross multiply
    1,838.35x = 2,536.85 × 999.03
  4. Step 4: Simplify right side
    1,838.35x = 2,534,397.05
  5. Step 5: Solve for x
    x = 2,534,397.05/1,838.35
  6. Step 6: Final answer
    x = 1,378.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.