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Finding the Fourth Proportional to 1,818.84, 2,512.28 and 1,582.32

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Solution

The fourth proportional to 1,818.84, 2,512.28 and 1,582.32 is: 2,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.84 : 2,512.28 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    1,818.84/2,512.28 = 1,582.32/x
  3. Step 3: Cross multiply
    1,818.84x = 2,512.28 × 1,582.32
  4. Step 4: Simplify right side
    1,818.84x = 3,975,230.89
  5. Step 5: Solve for x
    x = 3,975,230.89/1,818.84
  6. Step 6: Final answer
    x = 2,185.59

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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.