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Finding the Fourth Proportional to 2,421.02, 3,648.02 and 1,991.88

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Solution

The fourth proportional to 2,421.02, 3,648.02 and 1,991.88 is: 3,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.02 : 3,648.02 = 1,991.88 : x
  2. Step 2: Convert to fraction form
    2,421.02/3,648.02 = 1,991.88/x
  3. Step 3: Cross multiply
    2,421.02x = 3,648.02 × 1,991.88
  4. Step 4: Simplify right side
    2,421.02x = 7,266,418.08
  5. Step 5: Solve for x
    x = 7,266,418.08/2,421.02
  6. Step 6: Final answer
    x = 3,001.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.