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Finding the Fourth Proportional to 4,581, 6,871.01 and 3,109.65

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Solution

The fourth proportional to 4,581, 6,871.01 and 3,109.65 is: 4,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581 : 6,871.01 = 3,109.65 : x
  2. Step 2: Convert to fraction form
    4,581/6,871.01 = 3,109.65/x
  3. Step 3: Cross multiply
    4,581x = 6,871.01 × 3,109.65
  4. Step 4: Simplify right side
    4,581x = 21,366,420.70
  5. Step 5: Solve for x
    x = 21,366,420.70/4,581
  6. Step 6: Final answer
    x = 4,664.14

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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.