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Finding the Fourth Proportional to 28,097, 38,770.44 and 15,521.84

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Solution

The fourth proportional to 28,097, 38,770.44 and 15,521.84 is: 21,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097 : 38,770.44 = 15,521.84 : x
  2. Step 2: Convert to fraction form
    28,097/38,770.44 = 15,521.84/x
  3. Step 3: Cross multiply
    28,097x = 38,770.44 × 15,521.84
  4. Step 4: Simplify right side
    28,097x = 601,788,566.41
  5. Step 5: Solve for x
    x = 601,788,566.41/28,097
  6. Step 6: Final answer
    x = 21,418.25

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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.