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Finding the Fourth Proportional to 6,407, 9,610.86 and 1,790.36

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Solution

The fourth proportional to 6,407, 9,610.86 and 1,790.36 is: 2,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 9,610.86 = 1,790.36 : x
  2. Step 2: Convert to fraction form
    6,407/9,610.86 = 1,790.36/x
  3. Step 3: Cross multiply
    6,407x = 9,610.86 × 1,790.36
  4. Step 4: Simplify right side
    6,407x = 17,206,899.31
  5. Step 5: Solve for x
    x = 17,206,899.31/6,407
  6. Step 6: Final answer
    x = 2,685.64

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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.