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Finding the Fourth Proportional to 2,643.40, 3,647.85 and 1,464.40

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Solution

The fourth proportional to 2,643.40, 3,647.85 and 1,464.40 is: 2,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.40 : 3,647.85 = 1,464.40 : x
  2. Step 2: Convert to fraction form
    2,643.40/3,647.85 = 1,464.40/x
  3. Step 3: Cross multiply
    2,643.40x = 3,647.85 × 1,464.40
  4. Step 4: Simplify right side
    2,643.40x = 5,341,898.33
  5. Step 5: Solve for x
    x = 5,341,898.33/2,643.40
  6. Step 6: Final answer
    x = 2,020.84

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Why These Related Problems?

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