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Finding the Fourth Proportional to 3,041.25, 4,561.96 and 989.25

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Solution

The fourth proportional to 3,041.25, 4,561.96 and 989.25 is: 1,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.25 : 4,561.96 = 989.25 : x
  2. Step 2: Convert to fraction form
    3,041.25/4,561.96 = 989.25/x
  3. Step 3: Cross multiply
    3,041.25x = 4,561.96 × 989.25
  4. Step 4: Simplify right side
    3,041.25x = 4,512,918.93
  5. Step 5: Solve for x
    x = 4,512,918.93/3,041.25
  6. Step 6: Final answer
    x = 1,483.90

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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.