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Finding the Fourth Proportional to 13,811.61, 20,720.51 and 5,046.30

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Solution

The fourth proportional to 13,811.61, 20,720.51 and 5,046.30 is: 7,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.61 : 20,720.51 = 5,046.30 : x
  2. Step 2: Convert to fraction form
    13,811.61/20,720.51 = 5,046.30/x
  3. Step 3: Cross multiply
    13,811.61x = 20,720.51 × 5,046.30
  4. Step 4: Simplify right side
    13,811.61x = 104,561,903.31
  5. Step 5: Solve for x
    x = 104,561,903.31/13,811.61
  6. Step 6: Final answer
    x = 7,570.58

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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.