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Finding the Fourth Proportional to 13,189, 18,200.82 and 7,301

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Solution

The fourth proportional to 13,189, 18,200.82 and 7,301 is: 10,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189 : 18,200.82 = 7,301 : x
  2. Step 2: Convert to fraction form
    13,189/18,200.82 = 7,301/x
  3. Step 3: Cross multiply
    13,189x = 18,200.82 × 7,301
  4. Step 4: Simplify right side
    13,189x = 132,884,186.82
  5. Step 5: Solve for x
    x = 132,884,186.82/13,189
  6. Step 6: Final answer
    x = 10,075.38

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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.