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Finding the Fourth Proportional to 2,689.78, 4,041.01 and 1,582.03

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Solution

The fourth proportional to 2,689.78, 4,041.01 and 1,582.03 is: 2,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.78 : 4,041.01 = 1,582.03 : x
  2. Step 2: Convert to fraction form
    2,689.78/4,041.01 = 1,582.03/x
  3. Step 3: Cross multiply
    2,689.78x = 4,041.01 × 1,582.03
  4. Step 4: Simplify right side
    2,689.78x = 6,393,017.44
  5. Step 5: Solve for x
    x = 6,393,017.44/2,689.78
  6. Step 6: Final answer
    x = 2,376.78

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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.