Home / 1,516.32-2,276.64-1,406.88

Finding the Fourth Proportional to 1,516.32, 2,276.64 and 1,406.88

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Solution

The fourth proportional to 1,516.32, 2,276.64 and 1,406.88 is: 2,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.32 : 2,276.64 = 1,406.88 : x
  2. Step 2: Convert to fraction form
    1,516.32/2,276.64 = 1,406.88/x
  3. Step 3: Cross multiply
    1,516.32x = 2,276.64 × 1,406.88
  4. Step 4: Simplify right side
    1,516.32x = 3,202,959.28
  5. Step 5: Solve for x
    x = 3,202,959.28/1,516.32
  6. Step 6: Final answer
    x = 2,112.32

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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.