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Finding the Fourth Proportional to 21,428, 32,143.62 and 6,638.41

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Solution

The fourth proportional to 21,428, 32,143.62 and 6,638.41 is: 9,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428 : 32,143.62 = 6,638.41 : x
  2. Step 2: Convert to fraction form
    21,428/32,143.62 = 6,638.41/x
  3. Step 3: Cross multiply
    21,428x = 32,143.62 × 6,638.41
  4. Step 4: Simplify right side
    21,428x = 213,382,528.44
  5. Step 5: Solve for x
    x = 213,382,528.44/21,428
  6. Step 6: Final answer
    x = 9,958.12

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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.