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Finding the Fourth Proportional to 2,902, 4,004.76 and 1,660

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Solution

The fourth proportional to 2,902, 4,004.76 and 1,660 is: 2,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902 : 4,004.76 = 1,660 : x
  2. Step 2: Convert to fraction form
    2,902/4,004.76 = 1,660/x
  3. Step 3: Cross multiply
    2,902x = 4,004.76 × 1,660
  4. Step 4: Simplify right side
    2,902x = 6,647,901.60
  5. Step 5: Solve for x
    x = 6,647,901.60/2,902
  6. Step 6: Final answer
    x = 2,290.80

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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.