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Finding the Fourth Proportional to 16,897.80, 25,338.72 and 5,047.20

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Solution

The fourth proportional to 16,897.80, 25,338.72 and 5,047.20 is: 7,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,897.80 : 25,338.72 = 5,047.20 : x
  2. Step 2: Convert to fraction form
    16,897.80/25,338.72 = 5,047.20/x
  3. Step 3: Cross multiply
    16,897.80x = 25,338.72 × 5,047.20
  4. Step 4: Simplify right side
    16,897.80x = 127,889,587.58
  5. Step 5: Solve for x
    x = 127,889,587.58/16,897.80
  6. Step 6: Final answer
    x = 7,568.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.