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Finding the Fourth Proportional to 12,164.00, 18,214.40 and 10,420.20

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Solution

The fourth proportional to 12,164.00, 18,214.40 and 10,420.20 is: 15,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.00 : 18,214.40 = 10,420.20 : x
  2. Step 2: Convert to fraction form
    12,164.00/18,214.40 = 10,420.20/x
  3. Step 3: Cross multiply
    12,164.00x = 18,214.40 × 10,420.20
  4. Step 4: Simplify right side
    12,164.00x = 189,797,716.93
  5. Step 5: Solve for x
    x = 189,797,716.93/12,164.00
  6. Step 6: Final answer
    x = 15,603.24

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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.