Home / 2,157.50-2,977.36-1,226

Finding the Fourth Proportional to 2,157.50, 2,977.36 and 1,226

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Solution

The fourth proportional to 2,157.50, 2,977.36 and 1,226 is: 1,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.50 : 2,977.36 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,157.50/2,977.36 = 1,226/x
  3. Step 3: Cross multiply
    2,157.50x = 2,977.36 × 1,226
  4. Step 4: Simplify right side
    2,157.50x = 3,650,243.36
  5. Step 5: Solve for x
    x = 3,650,243.36/2,157.50
  6. Step 6: Final answer
    x = 1,691.89

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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.