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Finding the Fourth Proportional to 1,989.30, 2,741.93 and 1,749.41

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Solution

The fourth proportional to 1,989.30, 2,741.93 and 1,749.41 is: 2,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.30 : 2,741.93 = 1,749.41 : x
  2. Step 2: Convert to fraction form
    1,989.30/2,741.93 = 1,749.41/x
  3. Step 3: Cross multiply
    1,989.30x = 2,741.93 × 1,749.41
  4. Step 4: Simplify right side
    1,989.30x = 4,796,751.01
  5. Step 5: Solve for x
    x = 4,796,751.01/1,989.30
  6. Step 6: Final answer
    x = 2,411.28

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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.