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Finding the Fourth Proportional to 13,650, 20,455.29 and 7,808.28

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Solution

The fourth proportional to 13,650, 20,455.29 and 7,808.28 is: 11,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650 : 20,455.29 = 7,808.28 : x
  2. Step 2: Convert to fraction form
    13,650/20,455.29 = 7,808.28/x
  3. Step 3: Cross multiply
    13,650x = 20,455.29 × 7,808.28
  4. Step 4: Simplify right side
    13,650x = 159,720,631.80
  5. Step 5: Solve for x
    x = 159,720,631.80/13,650
  6. Step 6: Final answer
    x = 11,701.15

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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.