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Finding the Fourth Proportional to 6,407, 9,612.12 and 1,790

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Solution

The fourth proportional to 6,407, 9,612.12 and 1,790 is: 2,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 9,612.12 = 1,790 : x
  2. Step 2: Convert to fraction form
    6,407/9,612.12 = 1,790/x
  3. Step 3: Cross multiply
    6,407x = 9,612.12 × 1,790
  4. Step 4: Simplify right side
    6,407x = 17,205,694.80
  5. Step 5: Solve for x
    x = 17,205,694.80/6,407
  6. Step 6: Final answer
    x = 2,685.45

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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.