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Finding the Fourth Proportional to 13,955.64, 20,940.63 and 7,714.48

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Solution

The fourth proportional to 13,955.64, 20,940.63 and 7,714.48 is: 11,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955.64 : 20,940.63 = 7,714.48 : x
  2. Step 2: Convert to fraction form
    13,955.64/20,940.63 = 7,714.48/x
  3. Step 3: Cross multiply
    13,955.64x = 20,940.63 × 7,714.48
  4. Step 4: Simplify right side
    13,955.64x = 161,546,071.32
  5. Step 5: Solve for x
    x = 161,546,071.32/13,955.64
  6. Step 6: Final answer
    x = 11,575.68

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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.