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Finding the Fourth Proportional to 13,646.00, 20,468.90 and 3,785.20

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Solution

The fourth proportional to 13,646.00, 20,468.90 and 3,785.20 is: 5,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.00 : 20,468.90 = 3,785.20 : x
  2. Step 2: Convert to fraction form
    13,646.00/20,468.90 = 3,785.20/x
  3. Step 3: Cross multiply
    13,646.00x = 20,468.90 × 3,785.20
  4. Step 4: Simplify right side
    13,646.00x = 77,478,838.57
  5. Step 5: Solve for x
    x = 77,478,838.57/13,646.00
  6. Step 6: Final answer
    x = 5,677.77

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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.