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Finding the Fourth Proportional to 14,760, 20,368.80 and 9,171

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Solution

The fourth proportional to 14,760, 20,368.80 and 9,171 is: 12,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760 : 20,368.80 = 9,171 : x
  2. Step 2: Convert to fraction form
    14,760/20,368.80 = 9,171/x
  3. Step 3: Cross multiply
    14,760x = 20,368.80 × 9,171
  4. Step 4: Simplify right side
    14,760x = 186,802,264.80
  5. Step 5: Solve for x
    x = 186,802,264.80/14,760
  6. Step 6: Final answer
    x = 12,655.98

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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.