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Finding the Fourth Proportional to 5,287.76, 7,297 and 2,929.88

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Solution

The fourth proportional to 5,287.76, 7,297 and 2,929.88 is: 4,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.76 : 7,297 = 2,929.88 : x
  2. Step 2: Convert to fraction form
    5,287.76/7,297 = 2,929.88/x
  3. Step 3: Cross multiply
    5,287.76x = 7,297 × 2,929.88
  4. Step 4: Simplify right side
    5,287.76x = 21,379,334.36
  5. Step 5: Solve for x
    x = 21,379,334.36/5,287.76
  6. Step 6: Final answer
    x = 4,043.17

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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.