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Finding the Fourth Proportional to 12,984.78, 17,919 and 8,271.80

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Solution

The fourth proportional to 12,984.78, 17,919 and 8,271.80 is: 11,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.78 : 17,919 = 8,271.80 : x
  2. Step 2: Convert to fraction form
    12,984.78/17,919 = 8,271.80/x
  3. Step 3: Cross multiply
    12,984.78x = 17,919 × 8,271.80
  4. Step 4: Simplify right side
    12,984.78x = 148,222,384.20
  5. Step 5: Solve for x
    x = 148,222,384.20/12,984.78
  6. Step 6: Final answer
    x = 11,415.09

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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.