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Finding the Fourth Proportional to 7,772.40, 11,658.60 and 1,928.97

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Solution

The fourth proportional to 7,772.40, 11,658.60 and 1,928.97 is: 2,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.40 : 11,658.60 = 1,928.97 : x
  2. Step 2: Convert to fraction form
    7,772.40/11,658.60 = 1,928.97/x
  3. Step 3: Cross multiply
    7,772.40x = 11,658.60 × 1,928.97
  4. Step 4: Simplify right side
    7,772.40x = 22,489,089.64
  5. Step 5: Solve for x
    x = 22,489,089.64/7,772.40
  6. Step 6: Final answer
    x = 2,893.46

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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.