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Finding the Fourth Proportional to 13,580, 18,740.39 and 8,274.84

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Solution

The fourth proportional to 13,580, 18,740.39 and 8,274.84 is: 11,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580 : 18,740.39 = 8,274.84 : x
  2. Step 2: Convert to fraction form
    13,580/18,740.39 = 8,274.84/x
  3. Step 3: Cross multiply
    13,580x = 18,740.39 × 8,274.84
  4. Step 4: Simplify right side
    13,580x = 155,073,728.79
  5. Step 5: Solve for x
    x = 155,073,728.79/13,580
  6. Step 6: Final answer
    x = 11,419.27

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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.