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Finding the Fourth Proportional to 12,328.36, 17,008.78 and 7,021.76

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Solution

The fourth proportional to 12,328.36, 17,008.78 and 7,021.76 is: 9,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.36 : 17,008.78 = 7,021.76 : x
  2. Step 2: Convert to fraction form
    12,328.36/17,008.78 = 7,021.76/x
  3. Step 3: Cross multiply
    12,328.36x = 17,008.78 × 7,021.76
  4. Step 4: Simplify right side
    12,328.36x = 119,431,571.05
  5. Step 5: Solve for x
    x = 119,431,571.05/12,328.36
  6. Step 6: Final answer
    x = 9,687.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.