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Finding the Fourth Proportional to 2,274.64, 3,137.80 and 1,390.48

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Solution

The fourth proportional to 2,274.64, 3,137.80 and 1,390.48 is: 1,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.64 : 3,137.80 = 1,390.48 : x
  2. Step 2: Convert to fraction form
    2,274.64/3,137.80 = 1,390.48/x
  3. Step 3: Cross multiply
    2,274.64x = 3,137.80 × 1,390.48
  4. Step 4: Simplify right side
    2,274.64x = 4,363,048.14
  5. Step 5: Solve for x
    x = 4,363,048.14/2,274.64
  6. Step 6: Final answer
    x = 1,918.13

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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.