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Finding the Fourth Proportional to 14,143.32, 19,508.80 and 8,690

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Solution

The fourth proportional to 14,143.32, 19,508.80 and 8,690 is: 11,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.32 : 19,508.80 = 8,690 : x
  2. Step 2: Convert to fraction form
    14,143.32/19,508.80 = 8,690/x
  3. Step 3: Cross multiply
    14,143.32x = 19,508.80 × 8,690
  4. Step 4: Simplify right side
    14,143.32x = 169,531,472
  5. Step 5: Solve for x
    x = 169,531,472/14,143.32
  6. Step 6: Final answer
    x = 11,986.68

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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.