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Finding the Fourth Proportional to 1,962.16, 2,944.10 and 729.30

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Solution

The fourth proportional to 1,962.16, 2,944.10 and 729.30 is: 1,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.16 : 2,944.10 = 729.30 : x
  2. Step 2: Convert to fraction form
    1,962.16/2,944.10 = 729.30/x
  3. Step 3: Cross multiply
    1,962.16x = 2,944.10 × 729.30
  4. Step 4: Simplify right side
    1,962.16x = 2,147,132.13
  5. Step 5: Solve for x
    x = 2,147,132.13/1,962.16
  6. Step 6: Final answer
    x = 1,094.27

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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.