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Finding the Fourth Proportional to 5,714.40, 7,880 and 4,035.04

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Solution

The fourth proportional to 5,714.40, 7,880 and 4,035.04 is: 5,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.40 : 7,880 = 4,035.04 : x
  2. Step 2: Convert to fraction form
    5,714.40/7,880 = 4,035.04/x
  3. Step 3: Cross multiply
    5,714.40x = 7,880 × 4,035.04
  4. Step 4: Simplify right side
    5,714.40x = 31,796,115.20
  5. Step 5: Solve for x
    x = 31,796,115.20/5,714.40
  6. Step 6: Final answer
    x = 5,564.21

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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.