Home / 1,976.88-2,962.67-1,538.66

Finding the Fourth Proportional to 1,976.88, 2,962.67 and 1,538.66

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Solution

The fourth proportional to 1,976.88, 2,962.67 and 1,538.66 is: 2,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.88 : 2,962.67 = 1,538.66 : x
  2. Step 2: Convert to fraction form
    1,976.88/2,962.67 = 1,538.66/x
  3. Step 3: Cross multiply
    1,976.88x = 2,962.67 × 1,538.66
  4. Step 4: Simplify right side
    1,976.88x = 4,558,541.82
  5. Step 5: Solve for x
    x = 4,558,541.82/1,976.88
  6. Step 6: Final answer
    x = 2,305.93

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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.