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Finding the Fourth Proportional to 18,200, 27,300.15 and 5,053.40

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Solution

The fourth proportional to 18,200, 27,300.15 and 5,053.40 is: 7,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200 : 27,300.15 = 5,053.40 : x
  2. Step 2: Convert to fraction form
    18,200/27,300.15 = 5,053.40/x
  3. Step 3: Cross multiply
    18,200x = 27,300.15 × 5,053.40
  4. Step 4: Simplify right side
    18,200x = 137,958,441.51
  5. Step 5: Solve for x
    x = 137,958,441.51/18,200
  6. Step 6: Final answer
    x = 7,580.13

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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.