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Finding the Fourth Proportional to 1,720.07, 2,374.23 and 1,099.07

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Solution

The fourth proportional to 1,720.07, 2,374.23 and 1,099.07 is: 1,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.07 : 2,374.23 = 1,099.07 : x
  2. Step 2: Convert to fraction form
    1,720.07/2,374.23 = 1,099.07/x
  3. Step 3: Cross multiply
    1,720.07x = 2,374.23 × 1,099.07
  4. Step 4: Simplify right side
    1,720.07x = 2,609,427.60
  5. Step 5: Solve for x
    x = 2,609,427.60/1,720.07
  6. Step 6: Final answer
    x = 1,517.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.