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Finding the Fourth Proportional to 12,865.14, 19,300.14 and 5,074.02

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Solution

The fourth proportional to 12,865.14, 19,300.14 and 5,074.02 is: 7,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.14 : 19,300.14 = 5,074.02 : x
  2. Step 2: Convert to fraction form
    12,865.14/19,300.14 = 5,074.02/x
  3. Step 3: Cross multiply
    12,865.14x = 19,300.14 × 5,074.02
  4. Step 4: Simplify right side
    12,865.14x = 97,929,296.36
  5. Step 5: Solve for x
    x = 97,929,296.36/12,865.14
  6. Step 6: Final answer
    x = 7,611.99

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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.