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Finding the Fourth Proportional to 7,928.70, 11,871.45 and 6,200.70

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Solution

The fourth proportional to 7,928.70, 11,871.45 and 6,200.70 is: 9,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.70 : 11,871.45 = 6,200.70 : x
  2. Step 2: Convert to fraction form
    7,928.70/11,871.45 = 6,200.70/x
  3. Step 3: Cross multiply
    7,928.70x = 11,871.45 × 6,200.70
  4. Step 4: Simplify right side
    7,928.70x = 73,611,300.02
  5. Step 5: Solve for x
    x = 73,611,300.02/7,928.70
  6. Step 6: Final answer
    x = 9,284.16

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1.5x scale

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.