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Finding the Fourth Proportional to 10,779.90, 16,169.86 and 4,849.87

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Solution

The fourth proportional to 10,779.90, 16,169.86 and 4,849.87 is: 7,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.90 : 16,169.86 = 4,849.87 : x
  2. Step 2: Convert to fraction form
    10,779.90/16,169.86 = 4,849.87/x
  3. Step 3: Cross multiply
    10,779.90x = 16,169.86 × 4,849.87
  4. Step 4: Simplify right side
    10,779.90x = 78,421,638.07
  5. Step 5: Solve for x
    x = 78,421,638.07/10,779.90
  6. Step 6: Final answer
    x = 7,274.80

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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.