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Finding the Fourth Proportional to 13,099.78, 19,649.87 and 7,293.30

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Solution

The fourth proportional to 13,099.78, 19,649.87 and 7,293.30 is: 10,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.78 : 19,649.87 = 7,293.30 : x
  2. Step 2: Convert to fraction form
    13,099.78/19,649.87 = 7,293.30/x
  3. Step 3: Cross multiply
    13,099.78x = 19,649.87 × 7,293.30
  4. Step 4: Simplify right side
    13,099.78x = 143,312,396.87
  5. Step 5: Solve for x
    x = 143,312,396.87/13,099.78
  6. Step 6: Final answer
    x = 10,940.06

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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.