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Finding the Fourth Proportional to 1,582.97, 2,184.46 and 874.88

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Solution

The fourth proportional to 1,582.97, 2,184.46 and 874.88 is: 1,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.97 : 2,184.46 = 874.88 : x
  2. Step 2: Convert to fraction form
    1,582.97/2,184.46 = 874.88/x
  3. Step 3: Cross multiply
    1,582.97x = 2,184.46 × 874.88
  4. Step 4: Simplify right side
    1,582.97x = 1,911,129.44
  5. Step 5: Solve for x
    x = 1,911,129.44/1,582.97
  6. Step 6: Final answer
    x = 1,207.31

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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.