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Finding the Fourth Proportional to 20,826.48, 28,750.04 and 13,283.16

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Solution

The fourth proportional to 20,826.48, 28,750.04 and 13,283.16 is: 18,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.48 : 28,750.04 = 13,283.16 : x
  2. Step 2: Convert to fraction form
    20,826.48/28,750.04 = 13,283.16/x
  3. Step 3: Cross multiply
    20,826.48x = 28,750.04 × 13,283.16
  4. Step 4: Simplify right side
    20,826.48x = 381,891,256.91
  5. Step 5: Solve for x
    x = 381,891,256.91/20,826.48
  6. Step 6: Final answer
    x = 18,336.81

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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.