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Finding the Fourth Proportional to 2,007.99, 2,771.42 and 1,477.64

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Solution

The fourth proportional to 2,007.99, 2,771.42 and 1,477.64 is: 2,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.99 : 2,771.42 = 1,477.64 : x
  2. Step 2: Convert to fraction form
    2,007.99/2,771.42 = 1,477.64/x
  3. Step 3: Cross multiply
    2,007.99x = 2,771.42 × 1,477.64
  4. Step 4: Simplify right side
    2,007.99x = 4,095,160.59
  5. Step 5: Solve for x
    x = 4,095,160.59/2,007.99
  6. Step 6: Final answer
    x = 2,039.43

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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.