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Finding the Fourth Proportional to 10,308, 15,462 and 3,012

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Solution

The fourth proportional to 10,308, 15,462 and 3,012 is: 4,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308 : 15,462 = 3,012 : x
  2. Step 2: Convert to fraction form
    10,308/15,462 = 3,012/x
  3. Step 3: Cross multiply
    10,308x = 15,462 × 3,012
  4. Step 4: Simplify right side
    10,308x = 46,571,544
  5. Step 5: Solve for x
    x = 46,571,544/10,308
  6. Step 6: Final answer
    x = 4,518

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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.