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Finding the Fourth Proportional to 6,390.95, 9,584.54 and 2,878.93

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Solution

The fourth proportional to 6,390.95, 9,584.54 and 2,878.93 is: 4,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.95 : 9,584.54 = 2,878.93 : x
  2. Step 2: Convert to fraction form
    6,390.95/9,584.54 = 2,878.93/x
  3. Step 3: Cross multiply
    6,390.95x = 9,584.54 × 2,878.93
  4. Step 4: Simplify right side
    6,390.95x = 27,593,157.42
  5. Step 5: Solve for x
    x = 27,593,157.42/6,390.95
  6. Step 6: Final answer
    x = 4,317.54

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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.