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Finding the Fourth Proportional to 9,858, 14,791.06 and 7,238.88

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Solution

The fourth proportional to 9,858, 14,791.06 and 7,238.88 is: 10,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858 : 14,791.06 = 7,238.88 : x
  2. Step 2: Convert to fraction form
    9,858/14,791.06 = 7,238.88/x
  3. Step 3: Cross multiply
    9,858x = 14,791.06 × 7,238.88
  4. Step 4: Simplify right side
    9,858x = 107,070,708.41
  5. Step 5: Solve for x
    x = 107,070,708.41/9,858
  6. Step 6: Final answer
    x = 10,861.30

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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.