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Finding the Fourth Proportional to 21,780, 32,690.06 and 13,476.24

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Solution

The fourth proportional to 21,780, 32,690.06 and 13,476.24 is: 20,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 32,690.06 = 13,476.24 : x
  2. Step 2: Convert to fraction form
    21,780/32,690.06 = 13,476.24/x
  3. Step 3: Cross multiply
    21,780x = 32,690.06 × 13,476.24
  4. Step 4: Simplify right side
    21,780x = 440,539,026.79
  5. Step 5: Solve for x
    x = 440,539,026.79/21,780
  6. Step 6: Final answer
    x = 20,226.77

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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.