Home / 1,972.28-2,962.06-1,323.47

Finding the Fourth Proportional to 1,972.28, 2,962.06 and 1,323.47

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Solution

The fourth proportional to 1,972.28, 2,962.06 and 1,323.47 is: 1,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.28 : 2,962.06 = 1,323.47 : x
  2. Step 2: Convert to fraction form
    1,972.28/2,962.06 = 1,323.47/x
  3. Step 3: Cross multiply
    1,972.28x = 2,962.06 × 1,323.47
  4. Step 4: Simplify right side
    1,972.28x = 3,920,186.05
  5. Step 5: Solve for x
    x = 3,920,186.05/1,972.28
  6. Step 6: Final answer
    x = 1,987.65

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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.