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Finding the Fourth Proportional to 13,572, 20,356.38 and 5,783.04

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Solution

The fourth proportional to 13,572, 20,356.38 and 5,783.04 is: 8,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572 : 20,356.38 = 5,783.04 : x
  2. Step 2: Convert to fraction form
    13,572/20,356.38 = 5,783.04/x
  3. Step 3: Cross multiply
    13,572x = 20,356.38 × 5,783.04
  4. Step 4: Simplify right side
    13,572x = 117,721,759.80
  5. Step 5: Solve for x
    x = 117,721,759.80/13,572
  6. Step 6: Final answer
    x = 8,673.87

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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.