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Finding the Fourth Proportional to 3,554.24, 4,894 and 3,109.60

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Solution

The fourth proportional to 3,554.24, 4,894 and 3,109.60 is: 4,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.24 : 4,894 = 3,109.60 : x
  2. Step 2: Convert to fraction form
    3,554.24/4,894 = 3,109.60/x
  3. Step 3: Cross multiply
    3,554.24x = 4,894 × 3,109.60
  4. Step 4: Simplify right side
    3,554.24x = 15,218,382.40
  5. Step 5: Solve for x
    x = 15,218,382.40/3,554.24
  6. Step 6: Final answer
    x = 4,281.75

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1.5x scale

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.