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Finding the Fourth Proportional to 1,800.25, 2,483.74 and 1,468.10

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Solution

The fourth proportional to 1,800.25, 2,483.74 and 1,468.10 is: 2,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.25 : 2,483.74 = 1,468.10 : x
  2. Step 2: Convert to fraction form
    1,800.25/2,483.74 = 1,468.10/x
  3. Step 3: Cross multiply
    1,800.25x = 2,483.74 × 1,468.10
  4. Step 4: Simplify right side
    1,800.25x = 3,646,378.69
  5. Step 5: Solve for x
    x = 3,646,378.69/1,800.25
  6. Step 6: Final answer
    x = 2,025.48

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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.