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Finding the Fourth Proportional to 12,841.84, 19,228.14 and 8,388.47

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Solution

The fourth proportional to 12,841.84, 19,228.14 and 8,388.47 is: 12,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.84 : 19,228.14 = 8,388.47 : x
  2. Step 2: Convert to fraction form
    12,841.84/19,228.14 = 8,388.47/x
  3. Step 3: Cross multiply
    12,841.84x = 19,228.14 × 8,388.47
  4. Step 4: Simplify right side
    12,841.84x = 161,294,723.62
  5. Step 5: Solve for x
    x = 161,294,723.62/12,841.84
  6. Step 6: Final answer
    x = 12,560.10

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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.