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Finding the Fourth Proportional to 1,785.96, 2,464.62 and 1,000

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Solution

The fourth proportional to 1,785.96, 2,464.62 and 1,000 is: 1,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.96 : 2,464.62 = 1,000 : x
  2. Step 2: Convert to fraction form
    1,785.96/2,464.62 = 1,000/x
  3. Step 3: Cross multiply
    1,785.96x = 2,464.62 × 1,000
  4. Step 4: Simplify right side
    1,785.96x = 2,464,620
  5. Step 5: Solve for x
    x = 2,464,620/1,785.96
  6. Step 6: Final answer
    x = 1,380.00

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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.