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Finding the Fourth Proportional to 2,207.68, 3,312 and 746.88

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Solution

The fourth proportional to 2,207.68, 3,312 and 746.88 is: 1,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.68 : 3,312 = 746.88 : x
  2. Step 2: Convert to fraction form
    2,207.68/3,312 = 746.88/x
  3. Step 3: Cross multiply
    2,207.68x = 3,312 × 746.88
  4. Step 4: Simplify right side
    2,207.68x = 2,473,666.56
  5. Step 5: Solve for x
    x = 2,473,666.56/2,207.68
  6. Step 6: Final answer
    x = 1,120.48

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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.