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Finding the Fourth Proportional to 5,287.92, 7,297.12 and 2,897.84

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Solution

The fourth proportional to 5,287.92, 7,297.12 and 2,897.84 is: 3,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.92 : 7,297.12 = 2,897.84 : x
  2. Step 2: Convert to fraction form
    5,287.92/7,297.12 = 2,897.84/x
  3. Step 3: Cross multiply
    5,287.92x = 7,297.12 × 2,897.84
  4. Step 4: Simplify right side
    5,287.92x = 21,145,886.22
  5. Step 5: Solve for x
    x = 21,145,886.22/5,287.92
  6. Step 6: Final answer
    x = 3,998.90

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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.