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Finding the Fourth Proportional to 19,758.20, 27,261.16 and 11,802.38

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Solution

The fourth proportional to 19,758.20, 27,261.16 and 11,802.38 is: 16,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.20 : 27,261.16 = 11,802.38 : x
  2. Step 2: Convert to fraction form
    19,758.20/27,261.16 = 11,802.38/x
  3. Step 3: Cross multiply
    19,758.20x = 27,261.16 × 11,802.38
  4. Step 4: Simplify right side
    19,758.20x = 321,746,403.75
  5. Step 5: Solve for x
    x = 321,746,403.75/19,758.20
  6. Step 6: Final answer
    x = 16,284.20

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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.