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Finding the Fourth Proportional to 9,155, 13,731.86 and 4,774.92

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Solution

The fourth proportional to 9,155, 13,731.86 and 4,774.92 is: 7,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 13,731.86 = 4,774.92 : x
  2. Step 2: Convert to fraction form
    9,155/13,731.86 = 4,774.92/x
  3. Step 3: Cross multiply
    9,155x = 13,731.86 × 4,774.92
  4. Step 4: Simplify right side
    9,155x = 65,568,532.95
  5. Step 5: Solve for x
    x = 65,568,532.95/9,155
  6. Step 6: Final answer
    x = 7,162.05

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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.