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Finding the Fourth Proportional to 2,901.83, 4,005.38 and 1,784.36

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Solution

The fourth proportional to 2,901.83, 4,005.38 and 1,784.36 is: 2,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.83 : 4,005.38 = 1,784.36 : x
  2. Step 2: Convert to fraction form
    2,901.83/4,005.38 = 1,784.36/x
  3. Step 3: Cross multiply
    2,901.83x = 4,005.38 × 1,784.36
  4. Step 4: Simplify right side
    2,901.83x = 7,147,054.33
  5. Step 5: Solve for x
    x = 7,147,054.33/2,901.83
  6. Step 6: Final answer
    x = 2,462.95

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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.