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Finding the Fourth Proportional to 2,117, 2,921.46 and 1,289

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Solution

The fourth proportional to 2,117, 2,921.46 and 1,289 is: 1,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 2,921.46 = 1,289 : x
  2. Step 2: Convert to fraction form
    2,117/2,921.46 = 1,289/x
  3. Step 3: Cross multiply
    2,117x = 2,921.46 × 1,289
  4. Step 4: Simplify right side
    2,117x = 3,765,761.94
  5. Step 5: Solve for x
    x = 3,765,761.94/2,117
  6. Step 6: Final answer
    x = 1,778.82

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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.