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Finding the Fourth Proportional to 34,396.56, 51,597.24 and 13,620

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Solution

The fourth proportional to 34,396.56, 51,597.24 and 13,620 is: 20,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396.56 : 51,597.24 = 13,620 : x
  2. Step 2: Convert to fraction form
    34,396.56/51,597.24 = 13,620/x
  3. Step 3: Cross multiply
    34,396.56x = 51,597.24 × 13,620
  4. Step 4: Simplify right side
    34,396.56x = 702,754,408.80
  5. Step 5: Solve for x
    x = 702,754,408.80/34,396.56
  6. Step 6: Final answer
    x = 20,430.95

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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.