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Finding the Fourth Proportional to 6,779.84, 9,362.66 and 6,411.69

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Solution

The fourth proportional to 6,779.84, 9,362.66 and 6,411.69 is: 8,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.84 : 9,362.66 = 6,411.69 : x
  2. Step 2: Convert to fraction form
    6,779.84/9,362.66 = 6,411.69/x
  3. Step 3: Cross multiply
    6,779.84x = 9,362.66 × 6,411.69
  4. Step 4: Simplify right side
    6,779.84x = 60,030,441.44
  5. Step 5: Solve for x
    x = 60,030,441.44/6,779.84
  6. Step 6: Final answer
    x = 8,854.26

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1.5x scale

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.