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Finding the Fourth Proportional to 3,840.64, 5,762.13 and 1,993.08

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Solution

The fourth proportional to 3,840.64, 5,762.13 and 1,993.08 is: 2,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.64 : 5,762.13 = 1,993.08 : x
  2. Step 2: Convert to fraction form
    3,840.64/5,762.13 = 1,993.08/x
  3. Step 3: Cross multiply
    3,840.64x = 5,762.13 × 1,993.08
  4. Step 4: Simplify right side
    3,840.64x = 11,484,386.06
  5. Step 5: Solve for x
    x = 11,484,386.06/3,840.64
  6. Step 6: Final answer
    x = 2,990.23

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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.