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Finding the Fourth Proportional to 10,820.42, 14,940.09 and 6,994.32

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Solution

The fourth proportional to 10,820.42, 14,940.09 and 6,994.32 is: 9,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.42 : 14,940.09 = 6,994.32 : x
  2. Step 2: Convert to fraction form
    10,820.42/14,940.09 = 6,994.32/x
  3. Step 3: Cross multiply
    10,820.42x = 14,940.09 × 6,994.32
  4. Step 4: Simplify right side
    10,820.42x = 104,495,770.29
  5. Step 5: Solve for x
    x = 104,495,770.29/10,820.42
  6. Step 6: Final answer
    x = 9,657.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.