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Finding the Fourth Proportional to 3,085.84, 4,620.56 and 2,470.80

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Solution

The fourth proportional to 3,085.84, 4,620.56 and 2,470.80 is: 3,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.84 : 4,620.56 = 2,470.80 : x
  2. Step 2: Convert to fraction form
    3,085.84/4,620.56 = 2,470.80/x
  3. Step 3: Cross multiply
    3,085.84x = 4,620.56 × 2,470.80
  4. Step 4: Simplify right side
    3,085.84x = 11,416,479.65
  5. Step 5: Solve for x
    x = 11,416,479.65/3,085.84
  6. Step 6: Final answer
    x = 3,699.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.