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Finding the Fourth Proportional to 19,985, 29,978.94 and 7,673

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Solution

The fourth proportional to 19,985, 29,978.94 and 7,673 is: 11,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985 : 29,978.94 = 7,673 : x
  2. Step 2: Convert to fraction form
    19,985/29,978.94 = 7,673/x
  3. Step 3: Cross multiply
    19,985x = 29,978.94 × 7,673
  4. Step 4: Simplify right side
    19,985x = 230,028,406.62
  5. Step 5: Solve for x
    x = 230,028,406.62/19,985
  6. Step 6: Final answer
    x = 11,510.05

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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.