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Finding the Fourth Proportional to 13,572, 18,724.32 and 8,527.68

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Solution

The fourth proportional to 13,572, 18,724.32 and 8,527.68 is: 11,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572 : 18,724.32 = 8,527.68 : x
  2. Step 2: Convert to fraction form
    13,572/18,724.32 = 8,527.68/x
  3. Step 3: Cross multiply
    13,572x = 18,724.32 × 8,527.68
  4. Step 4: Simplify right side
    13,572x = 159,675,009.18
  5. Step 5: Solve for x
    x = 159,675,009.18/13,572
  6. Step 6: Final answer
    x = 11,765.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.