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Finding the Fourth Proportional to 2,000.64, 3,005.28 and 1,636.32

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Solution

The fourth proportional to 2,000.64, 3,005.28 and 1,636.32 is: 2,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.64 : 3,005.28 = 1,636.32 : x
  2. Step 2: Convert to fraction form
    2,000.64/3,005.28 = 1,636.32/x
  3. Step 3: Cross multiply
    2,000.64x = 3,005.28 × 1,636.32
  4. Step 4: Simplify right side
    2,000.64x = 4,917,599.77
  5. Step 5: Solve for x
    x = 4,917,599.77/2,000.64
  6. Step 6: Final answer
    x = 2,458.01

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1.5x scale

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.