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Finding the Fourth Proportional to 21,480.44, 32,214.18 and 12,713

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Solution

The fourth proportional to 21,480.44, 32,214.18 and 12,713 is: 19,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,480.44 : 32,214.18 = 12,713 : x
  2. Step 2: Convert to fraction form
    21,480.44/32,214.18 = 12,713/x
  3. Step 3: Cross multiply
    21,480.44x = 32,214.18 × 12,713
  4. Step 4: Simplify right side
    21,480.44x = 409,538,870.34
  5. Step 5: Solve for x
    x = 409,538,870.34/21,480.44
  6. Step 6: Final answer
    x = 19,065.66

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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.