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Finding the Fourth Proportional to 6,696.30, 9,242.19 and 3,865.51

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Solution

The fourth proportional to 6,696.30, 9,242.19 and 3,865.51 is: 5,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.30 : 9,242.19 = 3,865.51 : x
  2. Step 2: Convert to fraction form
    6,696.30/9,242.19 = 3,865.51/x
  3. Step 3: Cross multiply
    6,696.30x = 9,242.19 × 3,865.51
  4. Step 4: Simplify right side
    6,696.30x = 35,725,777.87
  5. Step 5: Solve for x
    x = 35,725,777.87/6,696.30
  6. Step 6: Final answer
    x = 5,335.15

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1.5x scale

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.