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Finding the Fourth Proportional to 21,686.64, 32,581.80 and 13,910.64

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Solution

The fourth proportional to 21,686.64, 32,581.80 and 13,910.64 is: 20,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.64 : 32,581.80 = 13,910.64 : x
  2. Step 2: Convert to fraction form
    21,686.64/32,581.80 = 13,910.64/x
  3. Step 3: Cross multiply
    21,686.64x = 32,581.80 × 13,910.64
  4. Step 4: Simplify right side
    21,686.64x = 453,233,690.35
  5. Step 5: Solve for x
    x = 453,233,690.35/21,686.64
  6. Step 6: Final answer
    x = 20,899.21

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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.