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Finding the Fourth Proportional to 19,519, 29,274.12 and 8,978.90

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Solution

The fourth proportional to 19,519, 29,274.12 and 8,978.90 is: 13,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519 : 29,274.12 = 8,978.90 : x
  2. Step 2: Convert to fraction form
    19,519/29,274.12 = 8,978.90/x
  3. Step 3: Cross multiply
    19,519x = 29,274.12 × 8,978.90
  4. Step 4: Simplify right side
    19,519x = 262,849,396.07
  5. Step 5: Solve for x
    x = 262,849,396.07/19,519
  6. Step 6: Final answer
    x = 13,466.34

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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.