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Finding the Fourth Proportional to 10,206, 14,040.54 and 9,768.60

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Solution

The fourth proportional to 10,206, 14,040.54 and 9,768.60 is: 13,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 14,040.54 = 9,768.60 : x
  2. Step 2: Convert to fraction form
    10,206/14,040.54 = 9,768.60/x
  3. Step 3: Cross multiply
    10,206x = 14,040.54 × 9,768.60
  4. Step 4: Simplify right side
    10,206x = 137,156,419.04
  5. Step 5: Solve for x
    x = 137,156,419.04/10,206
  6. Step 6: Final answer
    x = 13,438.80

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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.