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Finding the Fourth Proportional to 7,930.08, 11,892.72 and 3,312

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Solution

The fourth proportional to 7,930.08, 11,892.72 and 3,312 is: 4,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.08 : 11,892.72 = 3,312 : x
  2. Step 2: Convert to fraction form
    7,930.08/11,892.72 = 3,312/x
  3. Step 3: Cross multiply
    7,930.08x = 11,892.72 × 3,312
  4. Step 4: Simplify right side
    7,930.08x = 39,388,688.64
  5. Step 5: Solve for x
    x = 39,388,688.64/7,930.08
  6. Step 6: Final answer
    x = 4,967.00

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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.