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Finding the Fourth Proportional to 14,678.57, 20,256.29 and 8,306.41

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Solution

The fourth proportional to 14,678.57, 20,256.29 and 8,306.41 is: 11,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.57 : 20,256.29 = 8,306.41 : x
  2. Step 2: Convert to fraction form
    14,678.57/20,256.29 = 8,306.41/x
  3. Step 3: Cross multiply
    14,678.57x = 20,256.29 × 8,306.41
  4. Step 4: Simplify right side
    14,678.57x = 168,256,907.01
  5. Step 5: Solve for x
    x = 168,256,907.01/14,678.57
  6. Step 6: Final answer
    x = 11,462.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.