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Finding the Fourth Proportional to 2,046, 3,069.24 and 678

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Solution

The fourth proportional to 2,046, 3,069.24 and 678 is: 1,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,069.24 = 678 : x
  2. Step 2: Convert to fraction form
    2,046/3,069.24 = 678/x
  3. Step 3: Cross multiply
    2,046x = 3,069.24 × 678
  4. Step 4: Simplify right side
    2,046x = 2,080,944.72
  5. Step 5: Solve for x
    x = 2,080,944.72/2,046
  6. Step 6: Final answer
    x = 1,017.08

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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.