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Finding the Fourth Proportional to 14,784.50, 20,403.09 and 8,160.50

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Solution

The fourth proportional to 14,784.50, 20,403.09 and 8,160.50 is: 11,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.50 : 20,403.09 = 8,160.50 : x
  2. Step 2: Convert to fraction form
    14,784.50/20,403.09 = 8,160.50/x
  3. Step 3: Cross multiply
    14,784.50x = 20,403.09 × 8,160.50
  4. Step 4: Simplify right side
    14,784.50x = 166,499,415.95
  5. Step 5: Solve for x
    x = 166,499,415.95/14,784.50
  6. Step 6: Final answer
    x = 11,261.75

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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.