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Finding the Fourth Proportional to 13,000.14, 17,940.13 and 7,031.80

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Solution

The fourth proportional to 13,000.14, 17,940.13 and 7,031.80 is: 9,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.14 : 17,940.13 = 7,031.80 : x
  2. Step 2: Convert to fraction form
    13,000.14/17,940.13 = 7,031.80/x
  3. Step 3: Cross multiply
    13,000.14x = 17,940.13 × 7,031.80
  4. Step 4: Simplify right side
    13,000.14x = 126,151,406.13
  5. Step 5: Solve for x
    x = 126,151,406.13/13,000.14
  6. Step 6: Final answer
    x = 9,703.85

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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.