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Finding the Fourth Proportional to 18,513.68, 27,772.40 and 6,824.16

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Solution

The fourth proportional to 18,513.68, 27,772.40 and 6,824.16 is: 10,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.68 : 27,772.40 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    18,513.68/27,772.40 = 6,824.16/x
  3. Step 3: Cross multiply
    18,513.68x = 27,772.40 × 6,824.16
  4. Step 4: Simplify right side
    18,513.68x = 189,523,301.18
  5. Step 5: Solve for x
    x = 189,523,301.18/18,513.68
  6. Step 6: Final answer
    x = 10,236.93

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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.