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Finding the Fourth Proportional to 28,072, 38,739.36 and 15,496.84

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Solution

The fourth proportional to 28,072, 38,739.36 and 15,496.84 is: 21,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,072 : 38,739.36 = 15,496.84 : x
  2. Step 2: Convert to fraction form
    28,072/38,739.36 = 15,496.84/x
  3. Step 3: Cross multiply
    28,072x = 38,739.36 × 15,496.84
  4. Step 4: Simplify right side
    28,072x = 600,337,663.62
  5. Step 5: Solve for x
    x = 600,337,663.62/28,072
  6. Step 6: Final answer
    x = 21,385.64

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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.