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Finding the Fourth Proportional to 2,376.98, 3,565.72 and 622.26

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Solution

The fourth proportional to 2,376.98, 3,565.72 and 622.26 is: 933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.98 : 3,565.72 = 622.26 : x
  2. Step 2: Convert to fraction form
    2,376.98/3,565.72 = 622.26/x
  3. Step 3: Cross multiply
    2,376.98x = 3,565.72 × 622.26
  4. Step 4: Simplify right side
    2,376.98x = 2,218,804.93
  5. Step 5: Solve for x
    x = 2,218,804.93/2,376.98
  6. Step 6: Final answer
    x = 933.46

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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.