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Finding the Fourth Proportional to 13,686, 18,885.60 and 7,715.76

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Solution

The fourth proportional to 13,686, 18,885.60 and 7,715.76 is: 10,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 18,885.60 = 7,715.76 : x
  2. Step 2: Convert to fraction form
    13,686/18,885.60 = 7,715.76/x
  3. Step 3: Cross multiply
    13,686x = 18,885.60 × 7,715.76
  4. Step 4: Simplify right side
    13,686x = 145,716,757.06
  5. Step 5: Solve for x
    x = 145,716,757.06/13,686
  6. Step 6: Final answer
    x = 10,647.14

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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.