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Finding the Fourth Proportional to 2,007.92, 2,989.12 and 1,913.60

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Solution

The fourth proportional to 2,007.92, 2,989.12 and 1,913.60 is: 2,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.92 : 2,989.12 = 1,913.60 : x
  2. Step 2: Convert to fraction form
    2,007.92/2,989.12 = 1,913.60/x
  3. Step 3: Cross multiply
    2,007.92x = 2,989.12 × 1,913.60
  4. Step 4: Simplify right side
    2,007.92x = 5,719,980.03
  5. Step 5: Solve for x
    x = 5,719,980.03/2,007.92
  6. Step 6: Final answer
    x = 2,848.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.