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Finding the Fourth Proportional to 7,099.71, 10,649.56 and 1,905.58

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Solution

The fourth proportional to 7,099.71, 10,649.56 and 1,905.58 is: 2,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.71 : 10,649.56 = 1,905.58 : x
  2. Step 2: Convert to fraction form
    7,099.71/10,649.56 = 1,905.58/x
  3. Step 3: Cross multiply
    7,099.71x = 10,649.56 × 1,905.58
  4. Step 4: Simplify right side
    7,099.71x = 20,293,588.54
  5. Step 5: Solve for x
    x = 20,293,588.54/7,099.71
  6. Step 6: Final answer
    x = 2,858.37

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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.