Home / 2,207.84-3,311.86-975.26

Finding the Fourth Proportional to 2,207.84, 3,311.86 and 975.26

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Solution

The fourth proportional to 2,207.84, 3,311.86 and 975.26 is: 1,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.84 : 3,311.86 = 975.26 : x
  2. Step 2: Convert to fraction form
    2,207.84/3,311.86 = 975.26/x
  3. Step 3: Cross multiply
    2,207.84x = 3,311.86 × 975.26
  4. Step 4: Simplify right side
    2,207.84x = 3,229,905.59
  5. Step 5: Solve for x
    x = 3,229,905.59/2,207.84
  6. Step 6: Final answer
    x = 1,462.93

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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.