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Finding the Fourth Proportional to 13,170.28, 18,173.88 and 7,202

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Solution

The fourth proportional to 13,170.28, 18,173.88 and 7,202 is: 9,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.28 : 18,173.88 = 7,202 : x
  2. Step 2: Convert to fraction form
    13,170.28/18,173.88 = 7,202/x
  3. Step 3: Cross multiply
    13,170.28x = 18,173.88 × 7,202
  4. Step 4: Simplify right side
    13,170.28x = 130,888,283.76
  5. Step 5: Solve for x
    x = 130,888,283.76/13,170.28
  6. Step 6: Final answer
    x = 9,938.15

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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.