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Finding the Fourth Proportional to 6,975.94, 9,618.95 and 5,378.97

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Solution

The fourth proportional to 6,975.94, 9,618.95 and 5,378.97 is: 7,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.94 : 9,618.95 = 5,378.97 : x
  2. Step 2: Convert to fraction form
    6,975.94/9,618.95 = 5,378.97/x
  3. Step 3: Cross multiply
    6,975.94x = 9,618.95 × 5,378.97
  4. Step 4: Simplify right side
    6,975.94x = 51,740,043.48
  5. Step 5: Solve for x
    x = 51,740,043.48/6,975.94
  6. Step 6: Final answer
    x = 7,416.93

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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.