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Finding the Fourth Proportional to 18,513.80, 27,775.56 and 6,827.12

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Solution

The fourth proportional to 18,513.80, 27,775.56 and 6,827.12 is: 10,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.80 : 27,775.56 = 6,827.12 : x
  2. Step 2: Convert to fraction form
    18,513.80/27,775.56 = 6,827.12/x
  3. Step 3: Cross multiply
    18,513.80x = 27,775.56 × 6,827.12
  4. Step 4: Simplify right side
    18,513.80x = 189,627,081.19
  5. Step 5: Solve for x
    x = 189,627,081.19/18,513.80
  6. Step 6: Final answer
    x = 10,242.47

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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.