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Finding the Fourth Proportional to 1,915, 2,643.02 and 1,448.44

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Solution

The fourth proportional to 1,915, 2,643.02 and 1,448.44 is: 1,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915 : 2,643.02 = 1,448.44 : x
  2. Step 2: Convert to fraction form
    1,915/2,643.02 = 1,448.44/x
  3. Step 3: Cross multiply
    1,915x = 2,643.02 × 1,448.44
  4. Step 4: Simplify right side
    1,915x = 3,828,255.89
  5. Step 5: Solve for x
    x = 3,828,255.89/1,915
  6. Step 6: Final answer
    x = 1,999.09

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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.