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Finding the Fourth Proportional to 1,785.54, 2,464.80 and 1,225.82

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Solution

The fourth proportional to 1,785.54, 2,464.80 and 1,225.82 is: 1,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.54 : 2,464.80 = 1,225.82 : x
  2. Step 2: Convert to fraction form
    1,785.54/2,464.80 = 1,225.82/x
  3. Step 3: Cross multiply
    1,785.54x = 2,464.80 × 1,225.82
  4. Step 4: Simplify right side
    1,785.54x = 3,021,401.14
  5. Step 5: Solve for x
    x = 3,021,401.14/1,785.54
  6. Step 6: Final answer
    x = 1,692.15

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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.