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Finding the Fourth Proportional to 1,720.83, 2,567.98 and 1,536.25

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Solution

The fourth proportional to 1,720.83, 2,567.98 and 1,536.25 is: 2,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.83 : 2,567.98 = 1,536.25 : x
  2. Step 2: Convert to fraction form
    1,720.83/2,567.98 = 1,536.25/x
  3. Step 3: Cross multiply
    1,720.83x = 2,567.98 × 1,536.25
  4. Step 4: Simplify right side
    1,720.83x = 3,945,059.28
  5. Step 5: Solve for x
    x = 3,945,059.28/1,720.83
  6. Step 6: Final answer
    x = 2,292.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.