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Finding the Fourth Proportional to 9,927.90, 13,698 and 7,942.50

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Solution

The fourth proportional to 9,927.90, 13,698 and 7,942.50 is: 10,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.90 : 13,698 = 7,942.50 : x
  2. Step 2: Convert to fraction form
    9,927.90/13,698 = 7,942.50/x
  3. Step 3: Cross multiply
    9,927.90x = 13,698 × 7,942.50
  4. Step 4: Simplify right side
    9,927.90x = 108,796,365
  5. Step 5: Solve for x
    x = 108,796,365/9,927.90
  6. Step 6: Final answer
    x = 10,958.65

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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.