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Finding the Fourth Proportional to 5,199.66, 7,802.91 and 1,912.79

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Solution

The fourth proportional to 5,199.66, 7,802.91 and 1,912.79 is: 2,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.66 : 7,802.91 = 1,912.79 : x
  2. Step 2: Convert to fraction form
    5,199.66/7,802.91 = 1,912.79/x
  3. Step 3: Cross multiply
    5,199.66x = 7,802.91 × 1,912.79
  4. Step 4: Simplify right side
    5,199.66x = 14,925,328.22
  5. Step 5: Solve for x
    x = 14,925,328.22/5,199.66
  6. Step 6: Final answer
    x = 2,870.44

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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.