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Finding the Fourth Proportional to 14,665, 20,237.70 and 8,377.54

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Solution

The fourth proportional to 14,665, 20,237.70 and 8,377.54 is: 11,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665 : 20,237.70 = 8,377.54 : x
  2. Step 2: Convert to fraction form
    14,665/20,237.70 = 8,377.54/x
  3. Step 3: Cross multiply
    14,665x = 20,237.70 × 8,377.54
  4. Step 4: Simplify right side
    14,665x = 169,542,141.26
  5. Step 5: Solve for x
    x = 169,542,141.26/14,665
  6. Step 6: Final answer
    x = 11,561.01

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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.