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Finding the Fourth Proportional to 10,496.98, 15,745.45 and 7,200.09

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Solution

The fourth proportional to 10,496.98, 15,745.45 and 7,200.09 is: 10,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.98 : 15,745.45 = 7,200.09 : x
  2. Step 2: Convert to fraction form
    10,496.98/15,745.45 = 7,200.09/x
  3. Step 3: Cross multiply
    10,496.98x = 15,745.45 × 7,200.09
  4. Step 4: Simplify right side
    10,496.98x = 113,368,657.09
  5. Step 5: Solve for x
    x = 113,368,657.09/10,496.98
  6. Step 6: Final answer
    x = 10,800.12

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1.5x scale

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.