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Finding the Fourth Proportional to 3,788.16, 5,682.20 and 976.99

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Solution

The fourth proportional to 3,788.16, 5,682.20 and 976.99 is: 1,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,682.20 = 976.99 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,682.20 = 976.99/x
  3. Step 3: Cross multiply
    3,788.16x = 5,682.20 × 976.99
  4. Step 4: Simplify right side
    3,788.16x = 5,551,452.58
  5. Step 5: Solve for x
    x = 5,551,452.58/3,788.16
  6. Step 6: Final answer
    x = 1,465.47

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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.