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Finding the Fourth Proportional to 8,510, 11,743.82 and 4,975.16

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Solution

The fourth proportional to 8,510, 11,743.82 and 4,975.16 is: 6,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510 : 11,743.82 = 4,975.16 : x
  2. Step 2: Convert to fraction form
    8,510/11,743.82 = 4,975.16/x
  3. Step 3: Cross multiply
    8,510x = 11,743.82 × 4,975.16
  4. Step 4: Simplify right side
    8,510x = 58,427,383.51
  5. Step 5: Solve for x
    x = 58,427,383.51/8,510
  6. Step 6: Final answer
    x = 6,865.73

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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.