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Finding the Fourth Proportional to 1,995.12, 2,999.44 and 1,607.84

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Solution

The fourth proportional to 1,995.12, 2,999.44 and 1,607.84 is: 2,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.12 : 2,999.44 = 1,607.84 : x
  2. Step 2: Convert to fraction form
    1,995.12/2,999.44 = 1,607.84/x
  3. Step 3: Cross multiply
    1,995.12x = 2,999.44 × 1,607.84
  4. Step 4: Simplify right side
    1,995.12x = 4,822,615.59
  5. Step 5: Solve for x
    x = 4,822,615.59/1,995.12
  6. Step 6: Final answer
    x = 2,417.21

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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.