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Finding the Fourth Proportional to 6,471.62, 9,705.66 and 1,790.51

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Solution

The fourth proportional to 6,471.62, 9,705.66 and 1,790.51 is: 2,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.62 : 9,705.66 = 1,790.51 : x
  2. Step 2: Convert to fraction form
    6,471.62/9,705.66 = 1,790.51/x
  3. Step 3: Cross multiply
    6,471.62x = 9,705.66 × 1,790.51
  4. Step 4: Simplify right side
    6,471.62x = 17,378,081.29
  5. Step 5: Solve for x
    x = 17,378,081.29/6,471.62
  6. Step 6: Final answer
    x = 2,685.28

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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.