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Finding the Fourth Proportional to 13,213.80, 19,820.70 and 12,004.20

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Solution

The fourth proportional to 13,213.80, 19,820.70 and 12,004.20 is: 18,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.80 : 19,820.70 = 12,004.20 : x
  2. Step 2: Convert to fraction form
    13,213.80/19,820.70 = 12,004.20/x
  3. Step 3: Cross multiply
    13,213.80x = 19,820.70 × 12,004.20
  4. Step 4: Simplify right side
    13,213.80x = 237,931,646.94
  5. Step 5: Solve for x
    x = 237,931,646.94/13,213.80
  6. Step 6: Final answer
    x = 18,006.30

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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.