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Finding the Fourth Proportional to 30,141, 45,211.50 and 11,673

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Solution

The fourth proportional to 30,141, 45,211.50 and 11,673 is: 17,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141 : 45,211.50 = 11,673 : x
  2. Step 2: Convert to fraction form
    30,141/45,211.50 = 11,673/x
  3. Step 3: Cross multiply
    30,141x = 45,211.50 × 11,673
  4. Step 4: Simplify right side
    30,141x = 527,753,839.50
  5. Step 5: Solve for x
    x = 527,753,839.50/30,141
  6. Step 6: Final answer
    x = 17,509.50

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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.