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Finding the Fourth Proportional to 14,713, 20,303.94 and 8,427.40

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Solution

The fourth proportional to 14,713, 20,303.94 and 8,427.40 is: 11,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713 : 20,303.94 = 8,427.40 : x
  2. Step 2: Convert to fraction form
    14,713/20,303.94 = 8,427.40/x
  3. Step 3: Cross multiply
    14,713x = 20,303.94 × 8,427.40
  4. Step 4: Simplify right side
    14,713x = 171,109,423.96
  5. Step 5: Solve for x
    x = 171,109,423.96/14,713
  6. Step 6: Final answer
    x = 11,629.81

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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.