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Finding the Fourth Proportional to 14,795.50, 20,417.97 and 8,171.50

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Solution

The fourth proportional to 14,795.50, 20,417.97 and 8,171.50 is: 11,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,795.50 : 20,417.97 = 8,171.50 : x
  2. Step 2: Convert to fraction form
    14,795.50/20,417.97 = 8,171.50/x
  3. Step 3: Cross multiply
    14,795.50x = 20,417.97 × 8,171.50
  4. Step 4: Simplify right side
    14,795.50x = 166,845,441.86
  5. Step 5: Solve for x
    x = 166,845,441.86/14,795.50
  6. Step 6: Final answer
    x = 11,276.77

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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.