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Finding the Fourth Proportional to 8,911.65, 12,295.80 and 5,133.96

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Solution

The fourth proportional to 8,911.65, 12,295.80 and 5,133.96 is: 7,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.65 : 12,295.80 = 5,133.96 : x
  2. Step 2: Convert to fraction form
    8,911.65/12,295.80 = 5,133.96/x
  3. Step 3: Cross multiply
    8,911.65x = 12,295.80 × 5,133.96
  4. Step 4: Simplify right side
    8,911.65x = 63,126,145.37
  5. Step 5: Solve for x
    x = 63,126,145.37/8,911.65
  6. Step 6: Final answer
    x = 7,083.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.