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Finding the Fourth Proportional to 2,268, 3,130.40 and 1,384.54

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Solution

The fourth proportional to 2,268, 3,130.40 and 1,384.54 is: 1,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 3,130.40 = 1,384.54 : x
  2. Step 2: Convert to fraction form
    2,268/3,130.40 = 1,384.54/x
  3. Step 3: Cross multiply
    2,268x = 3,130.40 × 1,384.54
  4. Step 4: Simplify right side
    2,268x = 4,334,169.47
  5. Step 5: Solve for x
    x = 4,334,169.47/2,268
  6. Step 6: Final answer
    x = 1,911.01

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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.