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Finding the Fourth Proportional to 10,897, 15,037.62 and 6,181.80

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Solution

The fourth proportional to 10,897, 15,037.62 and 6,181.80 is: 8,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897 : 15,037.62 = 6,181.80 : x
  2. Step 2: Convert to fraction form
    10,897/15,037.62 = 6,181.80/x
  3. Step 3: Cross multiply
    10,897x = 15,037.62 × 6,181.80
  4. Step 4: Simplify right side
    10,897x = 92,959,559.32
  5. Step 5: Solve for x
    x = 92,959,559.32/10,897
  6. Step 6: Final answer
    x = 8,530.75

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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.