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Finding the Fourth Proportional to 35,478.96, 48,960 and 19,563.12

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Solution

The fourth proportional to 35,478.96, 48,960 and 19,563.12 is: 26,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.96 : 48,960 = 19,563.12 : x
  2. Step 2: Convert to fraction form
    35,478.96/48,960 = 19,563.12/x
  3. Step 3: Cross multiply
    35,478.96x = 48,960 × 19,563.12
  4. Step 4: Simplify right side
    35,478.96x = 957,810,355.20
  5. Step 5: Solve for x
    x = 957,810,355.20/35,478.96
  6. Step 6: Final answer
    x = 26,996.57

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Why These Related Problems?

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