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Finding the Fourth Proportional to 2,977.29, 4,466.15 and 786

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Solution

The fourth proportional to 2,977.29, 4,466.15 and 786 is: 1,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.29 : 4,466.15 = 786 : x
  2. Step 2: Convert to fraction form
    2,977.29/4,466.15 = 786/x
  3. Step 3: Cross multiply
    2,977.29x = 4,466.15 × 786
  4. Step 4: Simplify right side
    2,977.29x = 3,510,393.90
  5. Step 5: Solve for x
    x = 3,510,393.90/2,977.29
  6. Step 6: Final answer
    x = 1,179.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.