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Finding the Fourth Proportional to 14,706.56, 20,295.06 and 8,420.15

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Solution

The fourth proportional to 14,706.56, 20,295.06 and 8,420.15 is: 11,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.56 : 20,295.06 = 8,420.15 : x
  2. Step 2: Convert to fraction form
    14,706.56/20,295.06 = 8,420.15/x
  3. Step 3: Cross multiply
    14,706.56x = 20,295.06 × 8,420.15
  4. Step 4: Simplify right side
    14,706.56x = 170,887,468.62
  5. Step 5: Solve for x
    x = 170,887,468.62/14,706.56
  6. Step 6: Final answer
    x = 11,619.81

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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.