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Finding the Fourth Proportional to 14,227.60, 21,338.94 and 6,434.60

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Solution

The fourth proportional to 14,227.60, 21,338.94 and 6,434.60 is: 9,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.60 : 21,338.94 = 6,434.60 : x
  2. Step 2: Convert to fraction form
    14,227.60/21,338.94 = 6,434.60/x
  3. Step 3: Cross multiply
    14,227.60x = 21,338.94 × 6,434.60
  4. Step 4: Simplify right side
    14,227.60x = 137,307,543.32
  5. Step 5: Solve for x
    x = 137,307,543.32/14,227.60
  6. Step 6: Final answer
    x = 9,650.79

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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.