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Finding the Fourth Proportional to 3,993.71, 5,509.65 and 2,378.28

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Solution

The fourth proportional to 3,993.71, 5,509.65 and 2,378.28 is: 3,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.71 : 5,509.65 = 2,378.28 : x
  2. Step 2: Convert to fraction form
    3,993.71/5,509.65 = 2,378.28/x
  3. Step 3: Cross multiply
    3,993.71x = 5,509.65 × 2,378.28
  4. Step 4: Simplify right side
    3,993.71x = 13,103,490.40
  5. Step 5: Solve for x
    x = 13,103,490.40/3,993.71
  6. Step 6: Final answer
    x = 3,281.04

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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.