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Finding the Fourth Proportional to 5,287.54, 7,288.34 and 4,166.64

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Solution

The fourth proportional to 5,287.54, 7,288.34 and 4,166.64 is: 5,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.54 : 7,288.34 = 4,166.64 : x
  2. Step 2: Convert to fraction form
    5,287.54/7,288.34 = 4,166.64/x
  3. Step 3: Cross multiply
    5,287.54x = 7,288.34 × 4,166.64
  4. Step 4: Simplify right side
    5,287.54x = 30,367,888.98
  5. Step 5: Solve for x
    x = 30,367,888.98/5,287.54
  6. Step 6: Final answer
    x = 5,743.29

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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.