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Finding the Fourth Proportional to 19,441, 26,830.40 and 11,057.50

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Solution

The fourth proportional to 19,441, 26,830.40 and 11,057.50 is: 15,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441 : 26,830.40 = 11,057.50 : x
  2. Step 2: Convert to fraction form
    19,441/26,830.40 = 11,057.50/x
  3. Step 3: Cross multiply
    19,441x = 26,830.40 × 11,057.50
  4. Step 4: Simplify right side
    19,441x = 296,677,148
  5. Step 5: Solve for x
    x = 296,677,148/19,441
  6. Step 6: Final answer
    x = 15,260.39

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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.