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Finding the Fourth Proportional to 5,286.72, 7,287.12 and 4,696.32

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Solution

The fourth proportional to 5,286.72, 7,287.12 and 4,696.32 is: 6,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.72 : 7,287.12 = 4,696.32 : x
  2. Step 2: Convert to fraction form
    5,286.72/7,287.12 = 4,696.32/x
  3. Step 3: Cross multiply
    5,286.72x = 7,287.12 × 4,696.32
  4. Step 4: Simplify right side
    5,286.72x = 34,222,647.40
  5. Step 5: Solve for x
    x = 34,222,647.40/5,286.72
  6. Step 6: Final answer
    x = 6,473.32

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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.