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Finding the Fourth Proportional to 19,803.16, 27,322.50 and 11,305

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Solution

The fourth proportional to 19,803.16, 27,322.50 and 11,305 is: 15,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.16 : 27,322.50 = 11,305 : x
  2. Step 2: Convert to fraction form
    19,803.16/27,322.50 = 11,305/x
  3. Step 3: Cross multiply
    19,803.16x = 27,322.50 × 11,305
  4. Step 4: Simplify right side
    19,803.16x = 308,880,862.50
  5. Step 5: Solve for x
    x = 308,880,862.50/19,803.16
  6. Step 6: Final answer
    x = 15,597.55

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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.