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Finding the Fourth Proportional to 2,085.36, 3,128.36 and 624.35

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Solution

The fourth proportional to 2,085.36, 3,128.36 and 624.35 is: 936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.36 : 3,128.36 = 624.35 : x
  2. Step 2: Convert to fraction form
    2,085.36/3,128.36 = 624.35/x
  3. Step 3: Cross multiply
    2,085.36x = 3,128.36 × 624.35
  4. Step 4: Simplify right side
    2,085.36x = 1,953,172.80
  5. Step 5: Solve for x
    x = 1,953,172.80/2,085.36
  6. Step 6: Final answer
    x = 936.61

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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.