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Finding the Fourth Proportional to 9,272, 13,908.24 and 3,116

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Solution

The fourth proportional to 9,272, 13,908.24 and 3,116 is: 4,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272 : 13,908.24 = 3,116 : x
  2. Step 2: Convert to fraction form
    9,272/13,908.24 = 3,116/x
  3. Step 3: Cross multiply
    9,272x = 13,908.24 × 3,116
  4. Step 4: Simplify right side
    9,272x = 43,338,075.84
  5. Step 5: Solve for x
    x = 43,338,075.84/9,272
  6. Step 6: Final answer
    x = 4,674.08

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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.