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Finding the Fourth Proportional to 9,153.86, 13,730.80 and 4,779.86

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Solution

The fourth proportional to 9,153.86, 13,730.80 and 4,779.86 is: 7,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.86 : 13,730.80 = 4,779.86 : x
  2. Step 2: Convert to fraction form
    9,153.86/13,730.80 = 4,779.86/x
  3. Step 3: Cross multiply
    9,153.86x = 13,730.80 × 4,779.86
  4. Step 4: Simplify right side
    9,153.86x = 65,631,301.69
  5. Step 5: Solve for x
    x = 65,631,301.69/9,153.86
  6. Step 6: Final answer
    x = 7,169.80

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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.