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Finding the Fourth Proportional to 12,511.78, 18,751.26 and 6,962.26

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Solution

The fourth proportional to 12,511.78, 18,751.26 and 6,962.26 is: 10,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.78 : 18,751.26 = 6,962.26 : x
  2. Step 2: Convert to fraction form
    12,511.78/18,751.26 = 6,962.26/x
  3. Step 3: Cross multiply
    12,511.78x = 18,751.26 × 6,962.26
  4. Step 4: Simplify right side
    12,511.78x = 130,551,147.45
  5. Step 5: Solve for x
    x = 130,551,147.45/12,511.78
  6. Step 6: Final answer
    x = 10,434.26

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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.