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Finding the Fourth Proportional to 2,643.35, 3,647.54 and 1,464.30

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Solution

The fourth proportional to 2,643.35, 3,647.54 and 1,464.30 is: 2,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.35 : 3,647.54 = 1,464.30 : x
  2. Step 2: Convert to fraction form
    2,643.35/3,647.54 = 1,464.30/x
  3. Step 3: Cross multiply
    2,643.35x = 3,647.54 × 1,464.30
  4. Step 4: Simplify right side
    2,643.35x = 5,341,085.50
  5. Step 5: Solve for x
    x = 5,341,085.50/2,643.35
  6. Step 6: Final answer
    x = 2,020.58

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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.