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Finding the Fourth Proportional to 30,057.36, 45,091.71 and 9,276

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Solution

The fourth proportional to 30,057.36, 45,091.71 and 9,276 is: 13,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.36 : 45,091.71 = 9,276 : x
  2. Step 2: Convert to fraction form
    30,057.36/45,091.71 = 9,276/x
  3. Step 3: Cross multiply
    30,057.36x = 45,091.71 × 9,276
  4. Step 4: Simplify right side
    30,057.36x = 418,270,701.96
  5. Step 5: Solve for x
    x = 418,270,701.96/30,057.36
  6. Step 6: Final answer
    x = 13,915.75

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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.