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Finding the Fourth Proportional to 6,305.84, 8,696.40 and 3,948.24

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Solution

The fourth proportional to 6,305.84, 8,696.40 and 3,948.24 is: 5,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.84 : 8,696.40 = 3,948.24 : x
  2. Step 2: Convert to fraction form
    6,305.84/8,696.40 = 3,948.24/x
  3. Step 3: Cross multiply
    6,305.84x = 8,696.40 × 3,948.24
  4. Step 4: Simplify right side
    6,305.84x = 34,335,474.34
  5. Step 5: Solve for x
    x = 34,335,474.34/6,305.84
  6. Step 6: Final answer
    x = 5,445.03

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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.