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Finding the Fourth Proportional to 2,660.02, 3,990.51 and 904.84

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Solution

The fourth proportional to 2,660.02, 3,990.51 and 904.84 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.02 : 3,990.51 = 904.84 : x
  2. Step 2: Convert to fraction form
    2,660.02/3,990.51 = 904.84/x
  3. Step 3: Cross multiply
    2,660.02x = 3,990.51 × 904.84
  4. Step 4: Simplify right side
    2,660.02x = 3,610,773.07
  5. Step 5: Solve for x
    x = 3,610,773.07/2,660.02
  6. Step 6: Final answer
    x = 1,357.42

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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.