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Finding the Fourth Proportional to 10,758, 16,131.60 and 5,207.88

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Solution

The fourth proportional to 10,758, 16,131.60 and 5,207.88 is: 7,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758 : 16,131.60 = 5,207.88 : x
  2. Step 2: Convert to fraction form
    10,758/16,131.60 = 5,207.88/x
  3. Step 3: Cross multiply
    10,758x = 16,131.60 × 5,207.88
  4. Step 4: Simplify right side
    10,758x = 84,011,437.01
  5. Step 5: Solve for x
    x = 84,011,437.01/10,758
  6. Step 6: Final answer
    x = 7,809.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.