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Finding the Fourth Proportional to 2,165.02, 3,243.45 and 1,068.10

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Solution

The fourth proportional to 2,165.02, 3,243.45 and 1,068.10 is: 1,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.02 : 3,243.45 = 1,068.10 : x
  2. Step 2: Convert to fraction form
    2,165.02/3,243.45 = 1,068.10/x
  3. Step 3: Cross multiply
    2,165.02x = 3,243.45 × 1,068.10
  4. Step 4: Simplify right side
    2,165.02x = 3,464,328.95
  5. Step 5: Solve for x
    x = 3,464,328.95/2,165.02
  6. Step 6: Final answer
    x = 1,600.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.