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Finding the Fourth Proportional to 30,069.36, 45,109.71 and 9,288

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Solution

The fourth proportional to 30,069.36, 45,109.71 and 9,288 is: 13,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069.36 : 45,109.71 = 9,288 : x
  2. Step 2: Convert to fraction form
    30,069.36/45,109.71 = 9,288/x
  3. Step 3: Cross multiply
    30,069.36x = 45,109.71 × 9,288
  4. Step 4: Simplify right side
    30,069.36x = 418,978,986.48
  5. Step 5: Solve for x
    x = 418,978,986.48/30,069.36
  6. Step 6: Final answer
    x = 13,933.75

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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.