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Finding the Fourth Proportional to 7,107.70, 9,812.63 and 4,928.80

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Solution

The fourth proportional to 7,107.70, 9,812.63 and 4,928.80 is: 6,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.70 : 9,812.63 = 4,928.80 : x
  2. Step 2: Convert to fraction form
    7,107.70/9,812.63 = 4,928.80/x
  3. Step 3: Cross multiply
    7,107.70x = 9,812.63 × 4,928.80
  4. Step 4: Simplify right side
    7,107.70x = 48,364,441.68
  5. Step 5: Solve for x
    x = 48,364,441.68/7,107.70
  6. Step 6: Final answer
    x = 6,804.52

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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.