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Finding the Fourth Proportional to 6,779.68, 9,356 and 3,985

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Solution

The fourth proportional to 6,779.68, 9,356 and 3,985 is: 5,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.68 : 9,356 = 3,985 : x
  2. Step 2: Convert to fraction form
    6,779.68/9,356 = 3,985/x
  3. Step 3: Cross multiply
    6,779.68x = 9,356 × 3,985
  4. Step 4: Simplify right side
    6,779.68x = 37,283,660
  5. Step 5: Solve for x
    x = 37,283,660/6,779.68
  6. Step 6: Final answer
    x = 5,499.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.