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Finding the Fourth Proportional to 13,815.16, 20,820 and 12,500.68

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Solution

The fourth proportional to 13,815.16, 20,820 and 12,500.68 is: 18,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.16 : 20,820 = 12,500.68 : x
  2. Step 2: Convert to fraction form
    13,815.16/20,820 = 12,500.68/x
  3. Step 3: Cross multiply
    13,815.16x = 20,820 × 12,500.68
  4. Step 4: Simplify right side
    13,815.16x = 260,264,157.60
  5. Step 5: Solve for x
    x = 260,264,157.60/13,815.16
  6. Step 6: Final answer
    x = 18,839.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.