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Finding the Fourth Proportional to 12,269.60, 18,404.40 and 7,071.20

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Solution

The fourth proportional to 12,269.60, 18,404.40 and 7,071.20 is: 10,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.60 : 18,404.40 = 7,071.20 : x
  2. Step 2: Convert to fraction form
    12,269.60/18,404.40 = 7,071.20/x
  3. Step 3: Cross multiply
    12,269.60x = 18,404.40 × 7,071.20
  4. Step 4: Simplify right side
    12,269.60x = 130,141,193.28
  5. Step 5: Solve for x
    x = 130,141,193.28/12,269.60
  6. Step 6: Final answer
    x = 10,606.80

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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.