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Finding the Fourth Proportional to 2,907.77, 4,011.19 and 1,728

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Solution

The fourth proportional to 2,907.77, 4,011.19 and 1,728 is: 2,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.77 : 4,011.19 = 1,728 : x
  2. Step 2: Convert to fraction form
    2,907.77/4,011.19 = 1,728/x
  3. Step 3: Cross multiply
    2,907.77x = 4,011.19 × 1,728
  4. Step 4: Simplify right side
    2,907.77x = 6,931,332
  5. Step 5: Solve for x
    x = 6,931,332/2,907.77
  6. Step 6: Final answer
    x = 2,383.73

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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.