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Finding the Fourth Proportional to 19,702.24, 27,186.24 and 11,317.12

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Solution

The fourth proportional to 19,702.24, 27,186.24 and 11,317.12 is: 15,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.24 : 27,186.24 = 11,317.12 : x
  2. Step 2: Convert to fraction form
    19,702.24/27,186.24 = 11,317.12/x
  3. Step 3: Cross multiply
    19,702.24x = 27,186.24 × 11,317.12
  4. Step 4: Simplify right side
    19,702.24x = 307,669,940.43
  5. Step 5: Solve for x
    x = 307,669,940.43/19,702.24
  6. Step 6: Final answer
    x = 15,615.99

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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.