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Finding the Fourth Proportional to 13,176.40, 19,775.40 and 12,744.40

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Solution

The fourth proportional to 13,176.40, 19,775.40 and 12,744.40 is: 19,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.40 : 19,775.40 = 12,744.40 : x
  2. Step 2: Convert to fraction form
    13,176.40/19,775.40 = 12,744.40/x
  3. Step 3: Cross multiply
    13,176.40x = 19,775.40 × 12,744.40
  4. Step 4: Simplify right side
    13,176.40x = 252,025,607.76
  5. Step 5: Solve for x
    x = 252,025,607.76/13,176.40
  6. Step 6: Final answer
    x = 19,127.05

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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.