Home / 2,428.94-3,646-1,042.96

Finding the Fourth Proportional to 2,428.94, 3,646 and 1,042.96

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Solution

The fourth proportional to 2,428.94, 3,646 and 1,042.96 is: 1,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.94 : 3,646 = 1,042.96 : x
  2. Step 2: Convert to fraction form
    2,428.94/3,646 = 1,042.96/x
  3. Step 3: Cross multiply
    2,428.94x = 3,646 × 1,042.96
  4. Step 4: Simplify right side
    2,428.94x = 3,802,632.16
  5. Step 5: Solve for x
    x = 3,802,632.16/2,428.94
  6. Step 6: Final answer
    x = 1,565.55

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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.