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Finding the Fourth Proportional to 10,805.10, 16,207.65 and 4,649.10

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Solution

The fourth proportional to 10,805.10, 16,207.65 and 4,649.10 is: 6,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.10 : 16,207.65 = 4,649.10 : x
  2. Step 2: Convert to fraction form
    10,805.10/16,207.65 = 4,649.10/x
  3. Step 3: Cross multiply
    10,805.10x = 16,207.65 × 4,649.10
  4. Step 4: Simplify right side
    10,805.10x = 75,350,985.62
  5. Step 5: Solve for x
    x = 75,350,985.62/10,805.10
  6. Step 6: Final answer
    x = 6,973.65

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