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Finding the Fourth Proportional to 51,240, 76,860 and 12,328

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Solution

The fourth proportional to 51,240, 76,860 and 12,328 is: 18,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 76,860 = 12,328 : x
  2. Step 2: Convert to fraction form
    51,240/76,860 = 12,328/x
  3. Step 3: Cross multiply
    51,240x = 76,860 × 12,328
  4. Step 4: Simplify right side
    51,240x = 947,530,080
  5. Step 5: Solve for x
    x = 947,530,080/51,240
  6. Step 6: Final answer
    x = 18,492

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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.