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Finding the Fourth Proportional to 2,977.40, 4,466.33 and 786.07

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Solution

The fourth proportional to 2,977.40, 4,466.33 and 786.07 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.40 : 4,466.33 = 786.07 : x
  2. Step 2: Convert to fraction form
    2,977.40/4,466.33 = 786.07/x
  3. Step 3: Cross multiply
    2,977.40x = 4,466.33 × 786.07
  4. Step 4: Simplify right side
    2,977.40x = 3,510,844.09
  5. Step 5: Solve for x
    x = 3,510,844.09/2,977.40
  6. Step 6: Final answer
    x = 1,179.16

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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.