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Finding the Fourth Proportional to 13,995.76, 20,999.70 and 6,982.78

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Solution

The fourth proportional to 13,995.76, 20,999.70 and 6,982.78 is: 10,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.76 : 20,999.70 = 6,982.78 : x
  2. Step 2: Convert to fraction form
    13,995.76/20,999.70 = 6,982.78/x
  3. Step 3: Cross multiply
    13,995.76x = 20,999.70 × 6,982.78
  4. Step 4: Simplify right side
    13,995.76x = 146,636,285.17
  5. Step 5: Solve for x
    x = 146,636,285.17/13,995.76
  6. Step 6: Final answer
    x = 10,477.19

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1.5x scale

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.