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Finding the Fourth Proportional to 14,706.24, 20,295 and 8,420.64

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Solution

The fourth proportional to 14,706.24, 20,295 and 8,420.64 is: 11,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.24 : 20,295 = 8,420.64 : x
  2. Step 2: Convert to fraction form
    14,706.24/20,295 = 8,420.64/x
  3. Step 3: Cross multiply
    14,706.24x = 20,295 × 8,420.64
  4. Step 4: Simplify right side
    14,706.24x = 170,896,888.80
  5. Step 5: Solve for x
    x = 170,896,888.80/14,706.24
  6. Step 6: Final answer
    x = 11,620.71

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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.