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Finding the Fourth Proportional to 2,965.24, 4,448.48 and 990.78

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Solution

The fourth proportional to 2,965.24, 4,448.48 and 990.78 is: 1,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.24 : 4,448.48 = 990.78 : x
  2. Step 2: Convert to fraction form
    2,965.24/4,448.48 = 990.78/x
  3. Step 3: Cross multiply
    2,965.24x = 4,448.48 × 990.78
  4. Step 4: Simplify right side
    2,965.24x = 4,407,465.01
  5. Step 5: Solve for x
    x = 4,407,465.01/2,965.24
  6. Step 6: Final answer
    x = 1,486.38

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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.