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Finding the Fourth Proportional to 6,975.84, 9,627.12 and 4,879.20

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Solution

The fourth proportional to 6,975.84, 9,627.12 and 4,879.20 is: 6,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 9,627.12 = 4,879.20 : x
  2. Step 2: Convert to fraction form
    6,975.84/9,627.12 = 4,879.20/x
  3. Step 3: Cross multiply
    6,975.84x = 9,627.12 × 4,879.20
  4. Step 4: Simplify right side
    6,975.84x = 46,972,643.90
  5. Step 5: Solve for x
    x = 46,972,643.90/6,975.84
  6. Step 6: Final answer
    x = 6,733.62

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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.