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Finding the Fourth Proportional to 13,756.33, 20,643 and 5,434.93

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Solution

The fourth proportional to 13,756.33, 20,643 and 5,434.93 is: 8,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.33 : 20,643 = 5,434.93 : x
  2. Step 2: Convert to fraction form
    13,756.33/20,643 = 5,434.93/x
  3. Step 3: Cross multiply
    13,756.33x = 20,643 × 5,434.93
  4. Step 4: Simplify right side
    13,756.33x = 112,193,259.99
  5. Step 5: Solve for x
    x = 112,193,259.99/13,756.33
  6. Step 6: Final answer
    x = 8,155.76

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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.