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Finding the Fourth Proportional to 1,962.02, 2,939.90 and 1,378

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Solution

The fourth proportional to 1,962.02, 2,939.90 and 1,378 is: 2,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.02 : 2,939.90 = 1,378 : x
  2. Step 2: Convert to fraction form
    1,962.02/2,939.90 = 1,378/x
  3. Step 3: Cross multiply
    1,962.02x = 2,939.90 × 1,378
  4. Step 4: Simplify right side
    1,962.02x = 4,051,182.20
  5. Step 5: Solve for x
    x = 4,051,182.20/1,962.02
  6. Step 6: Final answer
    x = 2,064.80

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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.