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Finding the Fourth Proportional to 14,709.66, 20,297.07 and 8,739.12

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Solution

The fourth proportional to 14,709.66, 20,297.07 and 8,739.12 is: 12,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.66 : 20,297.07 = 8,739.12 : x
  2. Step 2: Convert to fraction form
    14,709.66/20,297.07 = 8,739.12/x
  3. Step 3: Cross multiply
    14,709.66x = 20,297.07 × 8,739.12
  4. Step 4: Simplify right side
    14,709.66x = 177,378,530.38
  5. Step 5: Solve for x
    x = 177,378,530.38/14,709.66
  6. Step 6: Final answer
    x = 12,058.64

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1.5x scale

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.