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Finding the Fourth Proportional to 12,764.80, 19,161.60 and 7,573.60

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Solution

The fourth proportional to 12,764.80, 19,161.60 and 7,573.60 is: 11,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.80 : 19,161.60 = 7,573.60 : x
  2. Step 2: Convert to fraction form
    12,764.80/19,161.60 = 7,573.60/x
  3. Step 3: Cross multiply
    12,764.80x = 19,161.60 × 7,573.60
  4. Step 4: Simplify right side
    12,764.80x = 145,122,293.76
  5. Step 5: Solve for x
    x = 145,122,293.76/12,764.80
  6. Step 6: Final answer
    x = 11,368.94

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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.