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Finding the Fourth Proportional to 7,969.75, 10,999.65 and 6,078.40

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Solution

The fourth proportional to 7,969.75, 10,999.65 and 6,078.40 is: 8,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.75 : 10,999.65 = 6,078.40 : x
  2. Step 2: Convert to fraction form
    7,969.75/10,999.65 = 6,078.40/x
  3. Step 3: Cross multiply
    7,969.75x = 10,999.65 × 6,078.40
  4. Step 4: Simplify right side
    7,969.75x = 66,860,272.56
  5. Step 5: Solve for x
    x = 66,860,272.56/7,969.75
  6. Step 6: Final answer
    x = 8,389.26

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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.