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Finding the Fourth Proportional to 30,147, 45,220.50 and 11,679

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Solution

The fourth proportional to 30,147, 45,220.50 and 11,679 is: 17,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147 : 45,220.50 = 11,679 : x
  2. Step 2: Convert to fraction form
    30,147/45,220.50 = 11,679/x
  3. Step 3: Cross multiply
    30,147x = 45,220.50 × 11,679
  4. Step 4: Simplify right side
    30,147x = 528,130,219.50
  5. Step 5: Solve for x
    x = 528,130,219.50/30,147
  6. Step 6: Final answer
    x = 17,518.50

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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.