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Finding the Fourth Proportional to 2,610, 3,915.54 and 966.78

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Solution

The fourth proportional to 2,610, 3,915.54 and 966.78 is: 1,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610 : 3,915.54 = 966.78 : x
  2. Step 2: Convert to fraction form
    2,610/3,915.54 = 966.78/x
  3. Step 3: Cross multiply
    2,610x = 3,915.54 × 966.78
  4. Step 4: Simplify right side
    2,610x = 3,785,465.76
  5. Step 5: Solve for x
    x = 3,785,465.76/2,610
  6. Step 6: Final answer
    x = 1,450.37

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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.