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Finding the Fourth Proportional to 2,051.50, 3,078.51 and 1,078.30

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Solution

The fourth proportional to 2,051.50, 3,078.51 and 1,078.30 is: 1,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.50 : 3,078.51 = 1,078.30 : x
  2. Step 2: Convert to fraction form
    2,051.50/3,078.51 = 1,078.30/x
  3. Step 3: Cross multiply
    2,051.50x = 3,078.51 × 1,078.30
  4. Step 4: Simplify right side
    2,051.50x = 3,319,557.33
  5. Step 5: Solve for x
    x = 3,319,557.33/2,051.50
  6. Step 6: Final answer
    x = 1,618.11

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Why These Related Problems?

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