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Finding the Fourth Proportional to 13,970.54, 20,955.78 and 4,109.81

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Solution

The fourth proportional to 13,970.54, 20,955.78 and 4,109.81 is: 6,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.54 : 20,955.78 = 4,109.81 : x
  2. Step 2: Convert to fraction form
    13,970.54/20,955.78 = 4,109.81/x
  3. Step 3: Cross multiply
    13,970.54x = 20,955.78 × 4,109.81
  4. Step 4: Simplify right side
    13,970.54x = 86,124,169.42
  5. Step 5: Solve for x
    x = 86,124,169.42/13,970.54
  6. Step 6: Final answer
    x = 6,164.70

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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.