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Finding the Fourth Proportional to 24,971.43, 34,459.05 and 13,638.63

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Solution

The fourth proportional to 24,971.43, 34,459.05 and 13,638.63 is: 18,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.43 : 34,459.05 = 13,638.63 : x
  2. Step 2: Convert to fraction form
    24,971.43/34,459.05 = 13,638.63/x
  3. Step 3: Cross multiply
    24,971.43x = 34,459.05 × 13,638.63
  4. Step 4: Simplify right side
    24,971.43x = 469,974,233.10
  5. Step 5: Solve for x
    x = 469,974,233.10/24,971.43
  6. Step 6: Final answer
    x = 18,820.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.