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Finding the Fourth Proportional to 54,991.54, 82,487.10 and 13,438.54

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Solution

The fourth proportional to 54,991.54, 82,487.10 and 13,438.54 is: 20,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,991.54 : 82,487.10 = 13,438.54 : x
  2. Step 2: Convert to fraction form
    54,991.54/82,487.10 = 13,438.54/x
  3. Step 3: Cross multiply
    54,991.54x = 82,487.10 × 13,438.54
  4. Step 4: Simplify right side
    54,991.54x = 1,108,506,192.83
  5. Step 5: Solve for x
    x = 1,108,506,192.83/54,991.54
  6. Step 6: Final answer
    x = 20,157.76

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1.5x scale

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.