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Finding the Fourth Proportional to 12,782.22, 17,638.20 and 7,476

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Solution

The fourth proportional to 12,782.22, 17,638.20 and 7,476 is: 10,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.22 : 17,638.20 = 7,476 : x
  2. Step 2: Convert to fraction form
    12,782.22/17,638.20 = 7,476/x
  3. Step 3: Cross multiply
    12,782.22x = 17,638.20 × 7,476
  4. Step 4: Simplify right side
    12,782.22x = 131,863,183.20
  5. Step 5: Solve for x
    x = 131,863,183.20/12,782.22
  6. Step 6: Final answer
    x = 10,316.14

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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.