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Finding the Fourth Proportional to 13,722.40, 20,605.20 and 7,890.40

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Solution

The fourth proportional to 13,722.40, 20,605.20 and 7,890.40 is: 11,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.40 : 20,605.20 = 7,890.40 : x
  2. Step 2: Convert to fraction form
    13,722.40/20,605.20 = 7,890.40/x
  3. Step 3: Cross multiply
    13,722.40x = 20,605.20 × 7,890.40
  4. Step 4: Simplify right side
    13,722.40x = 162,583,270.08
  5. Step 5: Solve for x
    x = 162,583,270.08/13,722.40
  6. Step 6: Final answer
    x = 11,848.02

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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.