Home / 2,428.16-3,643.80-1,648.64

Finding the Fourth Proportional to 2,428.16, 3,643.80 and 1,648.64

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Solution

The fourth proportional to 2,428.16, 3,643.80 and 1,648.64 is: 2,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.16 : 3,643.80 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    2,428.16/3,643.80 = 1,648.64/x
  3. Step 3: Cross multiply
    2,428.16x = 3,643.80 × 1,648.64
  4. Step 4: Simplify right side
    2,428.16x = 6,007,314.43
  5. Step 5: Solve for x
    x = 6,007,314.43/2,428.16
  6. Step 6: Final answer
    x = 2,474.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.