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Finding the Fourth Proportional to 3,807.69, 5,255 and 2,315.71

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Solution

The fourth proportional to 3,807.69, 5,255 and 2,315.71 is: 3,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.69 : 5,255 = 2,315.71 : x
  2. Step 2: Convert to fraction form
    3,807.69/5,255 = 2,315.71/x
  3. Step 3: Cross multiply
    3,807.69x = 5,255 × 2,315.71
  4. Step 4: Simplify right side
    3,807.69x = 12,169,056.05
  5. Step 5: Solve for x
    x = 12,169,056.05/3,807.69
  6. Step 6: Final answer
    x = 3,195.92

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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.