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Finding the Fourth Proportional to 2,370, 3,554.96 and 1,955.28

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Solution

The fourth proportional to 2,370, 3,554.96 and 1,955.28 is: 2,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,554.96 = 1,955.28 : x
  2. Step 2: Convert to fraction form
    2,370/3,554.96 = 1,955.28/x
  3. Step 3: Cross multiply
    2,370x = 3,554.96 × 1,955.28
  4. Step 4: Simplify right side
    2,370x = 6,950,942.19
  5. Step 5: Solve for x
    x = 6,950,942.19/2,370
  6. Step 6: Final answer
    x = 2,932.89

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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.