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Finding the Fourth Proportional to 1,751.42, 2,411.62 and 1,639.87

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Solution

The fourth proportional to 1,751.42, 2,411.62 and 1,639.87 is: 2,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.42 : 2,411.62 = 1,639.87 : x
  2. Step 2: Convert to fraction form
    1,751.42/2,411.62 = 1,639.87/x
  3. Step 3: Cross multiply
    1,751.42x = 2,411.62 × 1,639.87
  4. Step 4: Simplify right side
    1,751.42x = 3,954,749.17
  5. Step 5: Solve for x
    x = 3,954,749.17/1,751.42
  6. Step 6: Final answer
    x = 2,258.02

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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.