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Finding the Fourth Proportional to 19,716, 27,207.84 and 10,763.40

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Solution

The fourth proportional to 19,716, 27,207.84 and 10,763.40 is: 14,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716 : 27,207.84 = 10,763.40 : x
  2. Step 2: Convert to fraction form
    19,716/27,207.84 = 10,763.40/x
  3. Step 3: Cross multiply
    19,716x = 27,207.84 × 10,763.40
  4. Step 4: Simplify right side
    19,716x = 292,848,865.06
  5. Step 5: Solve for x
    x = 292,848,865.06/19,716
  6. Step 6: Final answer
    x = 14,853.36

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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.