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Finding the Fourth Proportional to 12,008.40, 17,999.40 and 4,213.20

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Solution

The fourth proportional to 12,008.40, 17,999.40 and 4,213.20 is: 6,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.40 : 17,999.40 = 4,213.20 : x
  2. Step 2: Convert to fraction form
    12,008.40/17,999.40 = 4,213.20/x
  3. Step 3: Cross multiply
    12,008.40x = 17,999.40 × 4,213.20
  4. Step 4: Simplify right side
    12,008.40x = 75,835,072.08
  5. Step 5: Solve for x
    x = 75,835,072.08/12,008.40
  6. Step 6: Final answer
    x = 6,315.17

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1.5x scale

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.