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Finding the Fourth Proportional to 7,165.71, 9,888.21 and 4,181.09

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Solution

The fourth proportional to 7,165.71, 9,888.21 and 4,181.09 is: 5,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.71 : 9,888.21 = 4,181.09 : x
  2. Step 2: Convert to fraction form
    7,165.71/9,888.21 = 4,181.09/x
  3. Step 3: Cross multiply
    7,165.71x = 9,888.21 × 4,181.09
  4. Step 4: Simplify right side
    7,165.71x = 41,343,446.51
  5. Step 5: Solve for x
    x = 41,343,446.51/7,165.71
  6. Step 6: Final answer
    x = 5,769.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.