Home / 5,126.64-7,689.72-1,664.16

Finding the Fourth Proportional to 5,126.64, 7,689.72 and 1,664.16

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Solution

The fourth proportional to 5,126.64, 7,689.72 and 1,664.16 is: 2,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.64 : 7,689.72 = 1,664.16 : x
  2. Step 2: Convert to fraction form
    5,126.64/7,689.72 = 1,664.16/x
  3. Step 3: Cross multiply
    5,126.64x = 7,689.72 × 1,664.16
  4. Step 4: Simplify right side
    5,126.64x = 12,796,924.44
  5. Step 5: Solve for x
    x = 12,796,924.44/5,126.64
  6. Step 6: Final answer
    x = 2,496.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.