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Finding the Fourth Proportional to 3,057.82, 4,587.41 and 977.99

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Solution

The fourth proportional to 3,057.82, 4,587.41 and 977.99 is: 1,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.82 : 4,587.41 = 977.99 : x
  2. Step 2: Convert to fraction form
    3,057.82/4,587.41 = 977.99/x
  3. Step 3: Cross multiply
    3,057.82x = 4,587.41 × 977.99
  4. Step 4: Simplify right side
    3,057.82x = 4,486,441.11
  5. Step 5: Solve for x
    x = 4,486,441.11/3,057.82
  6. Step 6: Final answer
    x = 1,467.20

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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.