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Finding the Fourth Proportional to 2,997, 4,492.80 and 1,609.20

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Solution

The fourth proportional to 2,997, 4,492.80 and 1,609.20 is: 2,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997 : 4,492.80 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    2,997/4,492.80 = 1,609.20/x
  3. Step 3: Cross multiply
    2,997x = 4,492.80 × 1,609.20
  4. Step 4: Simplify right side
    2,997x = 7,229,813.76
  5. Step 5: Solve for x
    x = 7,229,813.76/2,997
  6. Step 6: Final answer
    x = 2,412.35

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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.