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Finding the Fourth Proportional to 9,329.65, 13,978.87 and 4,056.75

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Solution

The fourth proportional to 9,329.65, 13,978.87 and 4,056.75 is: 6,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.65 : 13,978.87 = 4,056.75 : x
  2. Step 2: Convert to fraction form
    9,329.65/13,978.87 = 4,056.75/x
  3. Step 3: Cross multiply
    9,329.65x = 13,978.87 × 4,056.75
  4. Step 4: Simplify right side
    9,329.65x = 56,708,782.14
  5. Step 5: Solve for x
    x = 56,708,782.14/9,329.65
  6. Step 6: Final answer
    x = 6,078.34

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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.