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Finding the Fourth Proportional to 14,657.94, 21,968.42 and 7,994.34

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Solution

The fourth proportional to 14,657.94, 21,968.42 and 7,994.34 is: 11,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.94 : 21,968.42 = 7,994.34 : x
  2. Step 2: Convert to fraction form
    14,657.94/21,968.42 = 7,994.34/x
  3. Step 3: Cross multiply
    14,657.94x = 21,968.42 × 7,994.34
  4. Step 4: Simplify right side
    14,657.94x = 175,622,978.77
  5. Step 5: Solve for x
    x = 175,622,978.77/14,657.94
  6. Step 6: Final answer
    x = 11,981.42

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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.