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Finding the Fourth Proportional to 13,681.62, 20,518.77 and 3,819.16

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Solution

The fourth proportional to 13,681.62, 20,518.77 and 3,819.16 is: 5,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.62 : 20,518.77 = 3,819.16 : x
  2. Step 2: Convert to fraction form
    13,681.62/20,518.77 = 3,819.16/x
  3. Step 3: Cross multiply
    13,681.62x = 20,518.77 × 3,819.16
  4. Step 4: Simplify right side
    13,681.62x = 78,364,465.63
  5. Step 5: Solve for x
    x = 78,364,465.63/13,681.62
  6. Step 6: Final answer
    x = 5,727.72

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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.