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Finding the Fourth Proportional to 7,782.88, 11,672.88 and 2,587.36

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Solution

The fourth proportional to 7,782.88, 11,672.88 and 2,587.36 is: 3,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.88 : 11,672.88 = 2,587.36 : x
  2. Step 2: Convert to fraction form
    7,782.88/11,672.88 = 2,587.36/x
  3. Step 3: Cross multiply
    7,782.88x = 11,672.88 × 2,587.36
  4. Step 4: Simplify right side
    7,782.88x = 30,201,942.80
  5. Step 5: Solve for x
    x = 30,201,942.80/7,782.88
  6. Step 6: Final answer
    x = 3,880.56

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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.