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Finding the Fourth Proportional to 14,603.96, 20,148.54 and 8,311.88

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Solution

The fourth proportional to 14,603.96, 20,148.54 and 8,311.88 is: 11,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.96 : 20,148.54 = 8,311.88 : x
  2. Step 2: Convert to fraction form
    14,603.96/20,148.54 = 8,311.88/x
  3. Step 3: Cross multiply
    14,603.96x = 20,148.54 × 8,311.88
  4. Step 4: Simplify right side
    14,603.96x = 167,472,246.66
  5. Step 5: Solve for x
    x = 167,472,246.66/14,603.96
  6. Step 6: Final answer
    x = 11,467.59

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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.