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Finding the Fourth Proportional to 2,230.48, 3,078 and 1,345.96

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Solution

The fourth proportional to 2,230.48, 3,078 and 1,345.96 is: 1,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.48 : 3,078 = 1,345.96 : x
  2. Step 2: Convert to fraction form
    2,230.48/3,078 = 1,345.96/x
  3. Step 3: Cross multiply
    2,230.48x = 3,078 × 1,345.96
  4. Step 4: Simplify right side
    2,230.48x = 4,142,864.88
  5. Step 5: Solve for x
    x = 4,142,864.88/2,230.48
  6. Step 6: Final answer
    x = 1,857.39

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Why These Related Problems?

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