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Finding the Fourth Proportional to 30,091.50, 45,137.25 and 9,315

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Solution

The fourth proportional to 30,091.50, 45,137.25 and 9,315 is: 13,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,091.50 : 45,137.25 = 9,315 : x
  2. Step 2: Convert to fraction form
    30,091.50/45,137.25 = 9,315/x
  3. Step 3: Cross multiply
    30,091.50x = 45,137.25 × 9,315
  4. Step 4: Simplify right side
    30,091.50x = 420,453,483.75
  5. Step 5: Solve for x
    x = 420,453,483.75/30,091.50
  6. Step 6: Final answer
    x = 13,972.50

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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.