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Finding the Fourth Proportional to 1,500.95, 2,069.74 and 1,291.83

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Solution

The fourth proportional to 1,500.95, 2,069.74 and 1,291.83 is: 1,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.95 : 2,069.74 = 1,291.83 : x
  2. Step 2: Convert to fraction form
    1,500.95/2,069.74 = 1,291.83/x
  3. Step 3: Cross multiply
    1,500.95x = 2,069.74 × 1,291.83
  4. Step 4: Simplify right side
    1,500.95x = 2,673,752.22
  5. Step 5: Solve for x
    x = 2,673,752.22/1,500.95
  6. Step 6: Final answer
    x = 1,781.37

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