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Finding the Fourth Proportional to 27,985.41, 41,978.06 and 19,193.67

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Solution

The fourth proportional to 27,985.41, 41,978.06 and 19,193.67 is: 28,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.41 : 41,978.06 = 19,193.67 : x
  2. Step 2: Convert to fraction form
    27,985.41/41,978.06 = 19,193.67/x
  3. Step 3: Cross multiply
    27,985.41x = 41,978.06 × 19,193.67
  4. Step 4: Simplify right side
    27,985.41x = 805,713,030.88
  5. Step 5: Solve for x
    x = 805,713,030.88/27,985.41
  6. Step 6: Final answer
    x = 28,790.47

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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.