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Finding the Fourth Proportional to 19,978.50, 29,969.19 and 7,666.50

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Solution

The fourth proportional to 19,978.50, 29,969.19 and 7,666.50 is: 11,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.50 : 29,969.19 = 7,666.50 : x
  2. Step 2: Convert to fraction form
    19,978.50/29,969.19 = 7,666.50/x
  3. Step 3: Cross multiply
    19,978.50x = 29,969.19 × 7,666.50
  4. Step 4: Simplify right side
    19,978.50x = 229,758,795.14
  5. Step 5: Solve for x
    x = 229,758,795.14/19,978.50
  6. Step 6: Final answer
    x = 11,500.30

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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.