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Finding the Fourth Proportional to 15,800, 23,700 and 4,856

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Solution

The fourth proportional to 15,800, 23,700 and 4,856 is: 7,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800 : 23,700 = 4,856 : x
  2. Step 2: Convert to fraction form
    15,800/23,700 = 4,856/x
  3. Step 3: Cross multiply
    15,800x = 23,700 × 4,856
  4. Step 4: Simplify right side
    15,800x = 115,087,200
  5. Step 5: Solve for x
    x = 115,087,200/15,800
  6. Step 6: Final answer
    x = 7,284

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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.