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Finding the Fourth Proportional to 2,807.70, 4,205.07 and 1,831.38

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Solution

The fourth proportional to 2,807.70, 4,205.07 and 1,831.38 is: 2,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.70 : 4,205.07 = 1,831.38 : x
  2. Step 2: Convert to fraction form
    2,807.70/4,205.07 = 1,831.38/x
  3. Step 3: Cross multiply
    2,807.70x = 4,205.07 × 1,831.38
  4. Step 4: Simplify right side
    2,807.70x = 7,701,081.10
  5. Step 5: Solve for x
    x = 7,701,081.10/2,807.70
  6. Step 6: Final answer
    x = 2,742.84

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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.