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Finding the Fourth Proportional to 13,647.90, 20,439.04 and 7,786.74

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Solution

The fourth proportional to 13,647.90, 20,439.04 and 7,786.74 is: 11,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.90 : 20,439.04 = 7,786.74 : x
  2. Step 2: Convert to fraction form
    13,647.90/20,439.04 = 7,786.74/x
  3. Step 3: Cross multiply
    13,647.90x = 20,439.04 × 7,786.74
  4. Step 4: Simplify right side
    13,647.90x = 159,153,349.20
  5. Step 5: Solve for x
    x = 159,153,349.20/13,647.90
  6. Step 6: Final answer
    x = 11,661.38

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1.5x scale

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.