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Finding the Fourth Proportional to 5,099.84, 7,647.16 and 1,812.44

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Solution

The fourth proportional to 5,099.84, 7,647.16 and 1,812.44 is: 2,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.84 : 7,647.16 = 1,812.44 : x
  2. Step 2: Convert to fraction form
    5,099.84/7,647.16 = 1,812.44/x
  3. Step 3: Cross multiply
    5,099.84x = 7,647.16 × 1,812.44
  4. Step 4: Simplify right side
    5,099.84x = 13,860,018.67
  5. Step 5: Solve for x
    x = 13,860,018.67/5,099.84
  6. Step 6: Final answer
    x = 2,717.74

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1.5x scale

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.