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Finding the Fourth Proportional to 2,146, 2,961.51 and 1,318

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Solution

The fourth proportional to 2,146, 2,961.51 and 1,318 is: 1,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 2,961.51 = 1,318 : x
  2. Step 2: Convert to fraction form
    2,146/2,961.51 = 1,318/x
  3. Step 3: Cross multiply
    2,146x = 2,961.51 × 1,318
  4. Step 4: Simplify right side
    2,146x = 3,903,270.18
  5. Step 5: Solve for x
    x = 3,903,270.18/2,146
  6. Step 6: Final answer
    x = 1,818.86

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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.