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Finding the Fourth Proportional to 13,656, 20,484.48 and 7,809.92

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Solution

The fourth proportional to 13,656, 20,484.48 and 7,809.92 is: 11,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656 : 20,484.48 = 7,809.92 : x
  2. Step 2: Convert to fraction form
    13,656/20,484.48 = 7,809.92/x
  3. Step 3: Cross multiply
    13,656x = 20,484.48 × 7,809.92
  4. Step 4: Simplify right side
    13,656x = 159,982,150.04
  5. Step 5: Solve for x
    x = 159,982,150.04/13,656
  6. Step 6: Final answer
    x = 11,715.15

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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.