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Finding the Fourth Proportional to 2,512.88, 3,762.28 and 1,894.64

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Solution

The fourth proportional to 2,512.88, 3,762.28 and 1,894.64 is: 2,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.88 : 3,762.28 = 1,894.64 : x
  2. Step 2: Convert to fraction form
    2,512.88/3,762.28 = 1,894.64/x
  3. Step 3: Cross multiply
    2,512.88x = 3,762.28 × 1,894.64
  4. Step 4: Simplify right side
    2,512.88x = 7,128,156.71
  5. Step 5: Solve for x
    x = 7,128,156.71/2,512.88
  6. Step 6: Final answer
    x = 2,836.65

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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.