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Finding the Fourth Proportional to 1,582.68, 2,183.93 and 874.47

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Solution

The fourth proportional to 1,582.68, 2,183.93 and 874.47 is: 1,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.68 : 2,183.93 = 874.47 : x
  2. Step 2: Convert to fraction form
    1,582.68/2,183.93 = 874.47/x
  3. Step 3: Cross multiply
    1,582.68x = 2,183.93 × 874.47
  4. Step 4: Simplify right side
    1,582.68x = 1,909,781.27
  5. Step 5: Solve for x
    x = 1,909,781.27/1,582.68
  6. Step 6: Final answer
    x = 1,206.68

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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.