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Finding the Fourth Proportional to 13,664.46, 20,494.65 and 3,802.71

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Solution

The fourth proportional to 13,664.46, 20,494.65 and 3,802.71 is: 5,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.46 : 20,494.65 = 3,802.71 : x
  2. Step 2: Convert to fraction form
    13,664.46/20,494.65 = 3,802.71/x
  3. Step 3: Cross multiply
    13,664.46x = 20,494.65 × 3,802.71
  4. Step 4: Simplify right side
    13,664.46x = 77,935,210.50
  5. Step 5: Solve for x
    x = 77,935,210.50/13,664.46
  6. Step 6: Final answer
    x = 5,703.50

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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.