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Finding the Fourth Proportional to 8,505.69, 12,741.93 and 4,796.70

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Solution

The fourth proportional to 8,505.69, 12,741.93 and 4,796.70 is: 7,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.69 : 12,741.93 = 4,796.70 : x
  2. Step 2: Convert to fraction form
    8,505.69/12,741.93 = 4,796.70/x
  3. Step 3: Cross multiply
    8,505.69x = 12,741.93 × 4,796.70
  4. Step 4: Simplify right side
    8,505.69x = 61,119,215.63
  5. Step 5: Solve for x
    x = 61,119,215.63/8,505.69
  6. Step 6: Final answer
    x = 7,185.69

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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.