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Finding the Fourth Proportional to 12,071.68, 18,097.98 and 7,846

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Solution

The fourth proportional to 12,071.68, 18,097.98 and 7,846 is: 11,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.68 : 18,097.98 = 7,846 : x
  2. Step 2: Convert to fraction form
    12,071.68/18,097.98 = 7,846/x
  3. Step 3: Cross multiply
    12,071.68x = 18,097.98 × 7,846
  4. Step 4: Simplify right side
    12,071.68x = 141,996,751.08
  5. Step 5: Solve for x
    x = 141,996,751.08/12,071.68
  6. Step 6: Final answer
    x = 11,762.80

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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.