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Finding the Fourth Proportional to 13,657.84, 20,487 and 5,866.80

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Solution

The fourth proportional to 13,657.84, 20,487 and 5,866.80 is: 8,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.84 : 20,487 = 5,866.80 : x
  2. Step 2: Convert to fraction form
    13,657.84/20,487 = 5,866.80/x
  3. Step 3: Cross multiply
    13,657.84x = 20,487 × 5,866.80
  4. Step 4: Simplify right side
    13,657.84x = 120,193,131.60
  5. Step 5: Solve for x
    x = 120,193,131.60/13,657.84
  6. Step 6: Final answer
    x = 8,800.30

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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.