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Finding the Fourth Proportional to 14,284.44, 19,710 and 8,617.68

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Solution

The fourth proportional to 14,284.44, 19,710 and 8,617.68 is: 11,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.44 : 19,710 = 8,617.68 : x
  2. Step 2: Convert to fraction form
    14,284.44/19,710 = 8,617.68/x
  3. Step 3: Cross multiply
    14,284.44x = 19,710 × 8,617.68
  4. Step 4: Simplify right side
    14,284.44x = 169,854,472.80
  5. Step 5: Solve for x
    x = 169,854,472.80/14,284.44
  6. Step 6: Final answer
    x = 11,890.87

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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.