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Finding the Fourth Proportional to 2,345.30, 3,519.12 and 1,046.42

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Solution

The fourth proportional to 2,345.30, 3,519.12 and 1,046.42 is: 1,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.30 : 3,519.12 = 1,046.42 : x
  2. Step 2: Convert to fraction form
    2,345.30/3,519.12 = 1,046.42/x
  3. Step 3: Cross multiply
    2,345.30x = 3,519.12 × 1,046.42
  4. Step 4: Simplify right side
    2,345.30x = 3,682,477.55
  5. Step 5: Solve for x
    x = 3,682,477.55/2,345.30
  6. Step 6: Final answer
    x = 1,570.15

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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.