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Finding the Fourth Proportional to 2,977.89, 4,466.61 and 786.66

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Solution

The fourth proportional to 2,977.89, 4,466.61 and 786.66 is: 1,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.89 : 4,466.61 = 786.66 : x
  2. Step 2: Convert to fraction form
    2,977.89/4,466.61 = 786.66/x
  3. Step 3: Cross multiply
    2,977.89x = 4,466.61 × 786.66
  4. Step 4: Simplify right side
    2,977.89x = 3,513,703.42
  5. Step 5: Solve for x
    x = 3,513,703.42/2,977.89
  6. Step 6: Final answer
    x = 1,179.93

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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.