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Finding the Fourth Proportional to 13,955.71, 20,905.28 and 6,448.60

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Solution

The fourth proportional to 13,955.71, 20,905.28 and 6,448.60 is: 9,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955.71 : 20,905.28 = 6,448.60 : x
  2. Step 2: Convert to fraction form
    13,955.71/20,905.28 = 6,448.60/x
  3. Step 3: Cross multiply
    13,955.71x = 20,905.28 × 6,448.60
  4. Step 4: Simplify right side
    13,955.71x = 134,809,752.47
  5. Step 5: Solve for x
    x = 134,809,752.47/13,955.71
  6. Step 6: Final answer
    x = 9,659.83

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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.