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Finding the Fourth Proportional to 15,164, 20,928.48 and 14,499.80

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Solution

The fourth proportional to 15,164, 20,928.48 and 14,499.80 is: 20,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164 : 20,928.48 = 14,499.80 : x
  2. Step 2: Convert to fraction form
    15,164/20,928.48 = 14,499.80/x
  3. Step 3: Cross multiply
    15,164x = 20,928.48 × 14,499.80
  4. Step 4: Simplify right side
    15,164x = 303,458,774.30
  5. Step 5: Solve for x
    x = 303,458,774.30/15,164
  6. Step 6: Final answer
    x = 20,011.79

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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.