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Finding the Fourth Proportional to 2,000.64, 3,000.24 and 846

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Solution

The fourth proportional to 2,000.64, 3,000.24 and 846 is: 1,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.64 : 3,000.24 = 846 : x
  2. Step 2: Convert to fraction form
    2,000.64/3,000.24 = 846/x
  3. Step 3: Cross multiply
    2,000.64x = 3,000.24 × 846
  4. Step 4: Simplify right side
    2,000.64x = 2,538,203.04
  5. Step 5: Solve for x
    x = 2,538,203.04/2,000.64
  6. Step 6: Final answer
    x = 1,268.70

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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.