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Finding the Fourth Proportional to 13,172.49, 18,178.02 and 7,204.14

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Solution

The fourth proportional to 13,172.49, 18,178.02 and 7,204.14 is: 9,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.49 : 18,178.02 = 7,204.14 : x
  2. Step 2: Convert to fraction form
    13,172.49/18,178.02 = 7,204.14/x
  3. Step 3: Cross multiply
    13,172.49x = 18,178.02 × 7,204.14
  4. Step 4: Simplify right side
    13,172.49x = 130,957,001.00
  5. Step 5: Solve for x
    x = 130,957,001.00/13,172.49
  6. Step 6: Final answer
    x = 9,941.70

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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.