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Finding the Fourth Proportional to 30,286.71, 41,800.14 and 18,188.01

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Solution

The fourth proportional to 30,286.71, 41,800.14 and 18,188.01 is: 25,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.71 : 41,800.14 = 18,188.01 : x
  2. Step 2: Convert to fraction form
    30,286.71/41,800.14 = 18,188.01/x
  3. Step 3: Cross multiply
    30,286.71x = 41,800.14 × 18,188.01
  4. Step 4: Simplify right side
    30,286.71x = 760,261,364.32
  5. Step 5: Solve for x
    x = 760,261,364.32/30,286.71
  6. Step 6: Final answer
    x = 25,102.14

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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.