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Finding the Fourth Proportional to 21,671.30, 29,890.35 and 13,705.83

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Solution

The fourth proportional to 21,671.30, 29,890.35 and 13,705.83 is: 18,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.30 : 29,890.35 = 13,705.83 : x
  2. Step 2: Convert to fraction form
    21,671.30/29,890.35 = 13,705.83/x
  3. Step 3: Cross multiply
    21,671.30x = 29,890.35 × 13,705.83
  4. Step 4: Simplify right side
    21,671.30x = 409,672,055.74
  5. Step 5: Solve for x
    x = 409,672,055.74/21,671.30
  6. Step 6: Final answer
    x = 18,903.90

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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.