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Finding the Fourth Proportional to 12,862, 19,294.76 and 4,540.08

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Solution

The fourth proportional to 12,862, 19,294.76 and 4,540.08 is: 6,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862 : 19,294.76 = 4,540.08 : x
  2. Step 2: Convert to fraction form
    12,862/19,294.76 = 4,540.08/x
  3. Step 3: Cross multiply
    12,862x = 19,294.76 × 4,540.08
  4. Step 4: Simplify right side
    12,862x = 87,599,753.98
  5. Step 5: Solve for x
    x = 87,599,753.98/12,862
  6. Step 6: Final answer
    x = 6,810.74

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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.