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Finding the Fourth Proportional to 12,121, 18,186.16 and 4,730.70

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Solution

The fourth proportional to 12,121, 18,186.16 and 4,730.70 is: 7,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121 : 18,186.16 = 4,730.70 : x
  2. Step 2: Convert to fraction form
    12,121/18,186.16 = 4,730.70/x
  3. Step 3: Cross multiply
    12,121x = 18,186.16 × 4,730.70
  4. Step 4: Simplify right side
    12,121x = 86,033,267.11
  5. Step 5: Solve for x
    x = 86,033,267.11/12,121
  6. Step 6: Final answer
    x = 7,097.87

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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.