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Finding the Fourth Proportional to 5,287.74, 7,297.02 and 2,929.80

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Solution

The fourth proportional to 5,287.74, 7,297.02 and 2,929.80 is: 4,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.74 : 7,297.02 = 2,929.80 : x
  2. Step 2: Convert to fraction form
    5,287.74/7,297.02 = 2,929.80/x
  3. Step 3: Cross multiply
    5,287.74x = 7,297.02 × 2,929.80
  4. Step 4: Simplify right side
    5,287.74x = 21,378,809.20
  5. Step 5: Solve for x
    x = 21,378,809.20/5,287.74
  6. Step 6: Final answer
    x = 4,043.09

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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.