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Finding the Fourth Proportional to 13,527.12, 18,666 and 7,860.80

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Solution

The fourth proportional to 13,527.12, 18,666 and 7,860.80 is: 10,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.12 : 18,666 = 7,860.80 : x
  2. Step 2: Convert to fraction form
    13,527.12/18,666 = 7,860.80/x
  3. Step 3: Cross multiply
    13,527.12x = 18,666 × 7,860.80
  4. Step 4: Simplify right side
    13,527.12x = 146,729,692.80
  5. Step 5: Solve for x
    x = 146,729,692.80/13,527.12
  6. Step 6: Final answer
    x = 10,847.08

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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.