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Finding the Fourth Proportional to 1,323.86, 1,982.36 and 1,284.90

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Solution

The fourth proportional to 1,323.86, 1,982.36 and 1,284.90 is: 1,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.86 : 1,982.36 = 1,284.90 : x
  2. Step 2: Convert to fraction form
    1,323.86/1,982.36 = 1,284.90/x
  3. Step 3: Cross multiply
    1,323.86x = 1,982.36 × 1,284.90
  4. Step 4: Simplify right side
    1,323.86x = 2,547,122.91
  5. Step 5: Solve for x
    x = 2,547,122.91/1,323.86
  6. Step 6: Final answer
    x = 1,924.01

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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.