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Finding the Fourth Proportional to 10,199.75, 15,289.10 and 4,280.07

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Solution

The fourth proportional to 10,199.75, 15,289.10 and 4,280.07 is: 6,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.75 : 15,289.10 = 4,280.07 : x
  2. Step 2: Convert to fraction form
    10,199.75/15,289.10 = 4,280.07/x
  3. Step 3: Cross multiply
    10,199.75x = 15,289.10 × 4,280.07
  4. Step 4: Simplify right side
    10,199.75x = 65,438,418.24
  5. Step 5: Solve for x
    x = 65,438,418.24/10,199.75
  6. Step 6: Final answer
    x = 6,415.69

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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.