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Finding the Fourth Proportional to 7,894.68, 11,846.02 and 4,782.12

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Solution

The fourth proportional to 7,894.68, 11,846.02 and 4,782.12 is: 7,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.68 : 11,846.02 = 4,782.12 : x
  2. Step 2: Convert to fraction form
    7,894.68/11,846.02 = 4,782.12/x
  3. Step 3: Cross multiply
    7,894.68x = 11,846.02 × 4,782.12
  4. Step 4: Simplify right side
    7,894.68x = 56,649,089.16
  5. Step 5: Solve for x
    x = 56,649,089.16/7,894.68
  6. Step 6: Final answer
    x = 7,175.60

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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.