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Finding the Fourth Proportional to 12,646.70, 18,970.59 and 3,881.96

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Solution

The fourth proportional to 12,646.70, 18,970.59 and 3,881.96 is: 5,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.70 : 18,970.59 = 3,881.96 : x
  2. Step 2: Convert to fraction form
    12,646.70/18,970.59 = 3,881.96/x
  3. Step 3: Cross multiply
    12,646.70x = 18,970.59 × 3,881.96
  4. Step 4: Simplify right side
    12,646.70x = 73,642,976.70
  5. Step 5: Solve for x
    x = 73,642,976.70/12,646.70
  6. Step 6: Final answer
    x = 5,823.10

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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.