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Finding the Fourth Proportional to 2,039.64, 2,814.64 and 1,200.32

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Solution

The fourth proportional to 2,039.64, 2,814.64 and 1,200.32 is: 1,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.64 : 2,814.64 = 1,200.32 : x
  2. Step 2: Convert to fraction form
    2,039.64/2,814.64 = 1,200.32/x
  3. Step 3: Cross multiply
    2,039.64x = 2,814.64 × 1,200.32
  4. Step 4: Simplify right side
    2,039.64x = 3,378,468.68
  5. Step 5: Solve for x
    x = 3,378,468.68/2,039.64
  6. Step 6: Final answer
    x = 1,656.40

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1.5x scale

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.