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Finding the Fourth Proportional to 30,649.62, 45,978.03 and 10,930.98

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Solution

The fourth proportional to 30,649.62, 45,978.03 and 10,930.98 is: 16,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.62 : 45,978.03 = 10,930.98 : x
  2. Step 2: Convert to fraction form
    30,649.62/45,978.03 = 10,930.98/x
  3. Step 3: Cross multiply
    30,649.62x = 45,978.03 × 10,930.98
  4. Step 4: Simplify right side
    30,649.62x = 502,584,926.37
  5. Step 5: Solve for x
    x = 502,584,926.37/30,649.62
  6. Step 6: Final answer
    x = 16,397.75

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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.