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Finding the Fourth Proportional to 3,001.35, 4,142.09 and 1,742.84

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Solution

The fourth proportional to 3,001.35, 4,142.09 and 1,742.84 is: 2,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.35 : 4,142.09 = 1,742.84 : x
  2. Step 2: Convert to fraction form
    3,001.35/4,142.09 = 1,742.84/x
  3. Step 3: Cross multiply
    3,001.35x = 4,142.09 × 1,742.84
  4. Step 4: Simplify right side
    3,001.35x = 7,219,000.14
  5. Step 5: Solve for x
    x = 7,219,000.14/3,001.35
  6. Step 6: Final answer
    x = 2,405.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.