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Finding the Fourth Proportional to 2,448.12, 3,669.74 and 986.84

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Solution

The fourth proportional to 2,448.12, 3,669.74 and 986.84 is: 1,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.12 : 3,669.74 = 986.84 : x
  2. Step 2: Convert to fraction form
    2,448.12/3,669.74 = 986.84/x
  3. Step 3: Cross multiply
    2,448.12x = 3,669.74 × 986.84
  4. Step 4: Simplify right side
    2,448.12x = 3,621,446.22
  5. Step 5: Solve for x
    x = 3,621,446.22/2,448.12
  6. Step 6: Final answer
    x = 1,479.28

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1.5x scale

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.