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Finding the Fourth Proportional to 19,678.50, 27,156.60 and 11,295

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Solution

The fourth proportional to 19,678.50, 27,156.60 and 11,295 is: 15,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.50 : 27,156.60 = 11,295 : x
  2. Step 2: Convert to fraction form
    19,678.50/27,156.60 = 11,295/x
  3. Step 3: Cross multiply
    19,678.50x = 27,156.60 × 11,295
  4. Step 4: Simplify right side
    19,678.50x = 306,733,797
  5. Step 5: Solve for x
    x = 306,733,797/19,678.50
  6. Step 6: Final answer
    x = 15,587.25

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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.