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Finding the Fourth Proportional to 13,911.57, 20,868.64 and 4,551.63

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Solution

The fourth proportional to 13,911.57, 20,868.64 and 4,551.63 is: 6,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.57 : 20,868.64 = 4,551.63 : x
  2. Step 2: Convert to fraction form
    13,911.57/20,868.64 = 4,551.63/x
  3. Step 3: Cross multiply
    13,911.57x = 20,868.64 × 4,551.63
  4. Step 4: Simplify right side
    13,911.57x = 94,986,327.88
  5. Step 5: Solve for x
    x = 94,986,327.88/13,911.57
  6. Step 6: Final answer
    x = 6,827.87

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1.5x scale

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.