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Finding the Fourth Proportional to 13,212, 19,801.80 and 7,943.76

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Solution

The fourth proportional to 13,212, 19,801.80 and 7,943.76 is: 11,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212 : 19,801.80 = 7,943.76 : x
  2. Step 2: Convert to fraction form
    13,212/19,801.80 = 7,943.76/x
  3. Step 3: Cross multiply
    13,212x = 19,801.80 × 7,943.76
  4. Step 4: Simplify right side
    13,212x = 157,300,746.77
  5. Step 5: Solve for x
    x = 157,300,746.77/13,212
  6. Step 6: Final answer
    x = 11,905.90

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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.