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Finding the Fourth Proportional to 14,404.19, 19,869.77 and 8,434.69

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Solution

The fourth proportional to 14,404.19, 19,869.77 and 8,434.69 is: 11,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.19 : 19,869.77 = 8,434.69 : x
  2. Step 2: Convert to fraction form
    14,404.19/19,869.77 = 8,434.69/x
  3. Step 3: Cross multiply
    14,404.19x = 19,869.77 × 8,434.69
  4. Step 4: Simplify right side
    14,404.19x = 167,595,321.73
  5. Step 5: Solve for x
    x = 167,595,321.73/14,404.19
  6. Step 6: Final answer
    x = 11,635.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.