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Finding the Fourth Proportional to 2,664.80, 3,677.24 and 1,485.80

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Solution

The fourth proportional to 2,664.80, 3,677.24 and 1,485.80 is: 2,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.80 : 3,677.24 = 1,485.80 : x
  2. Step 2: Convert to fraction form
    2,664.80/3,677.24 = 1,485.80/x
  3. Step 3: Cross multiply
    2,664.80x = 3,677.24 × 1,485.80
  4. Step 4: Simplify right side
    2,664.80x = 5,463,643.19
  5. Step 5: Solve for x
    x = 5,463,643.19/2,664.80
  6. Step 6: Final answer
    x = 2,050.30

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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.