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Finding the Fourth Proportional to 12,189.36, 16,830 and 7,479.84

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Solution

The fourth proportional to 12,189.36, 16,830 and 7,479.84 is: 10,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.36 : 16,830 = 7,479.84 : x
  2. Step 2: Convert to fraction form
    12,189.36/16,830 = 7,479.84/x
  3. Step 3: Cross multiply
    12,189.36x = 16,830 × 7,479.84
  4. Step 4: Simplify right side
    12,189.36x = 125,885,707.20
  5. Step 5: Solve for x
    x = 125,885,707.20/12,189.36
  6. Step 6: Final answer
    x = 10,327.51

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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.