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Finding the Fourth Proportional to 13,685.76, 20,528.64 and 5,472

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Solution

The fourth proportional to 13,685.76, 20,528.64 and 5,472 is: 8,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.76 : 20,528.64 = 5,472 : x
  2. Step 2: Convert to fraction form
    13,685.76/20,528.64 = 5,472/x
  3. Step 3: Cross multiply
    13,685.76x = 20,528.64 × 5,472
  4. Step 4: Simplify right side
    13,685.76x = 112,332,718.08
  5. Step 5: Solve for x
    x = 112,332,718.08/13,685.76
  6. Step 6: Final answer
    x = 8,208

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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.