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Finding the Fourth Proportional to 36,487.76, 54,720.12 and 11,858

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Solution

The fourth proportional to 36,487.76, 54,720.12 and 11,858 is: 17,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,487.76 : 54,720.12 = 11,858 : x
  2. Step 2: Convert to fraction form
    36,487.76/54,720.12 = 11,858/x
  3. Step 3: Cross multiply
    36,487.76x = 54,720.12 × 11,858
  4. Step 4: Simplify right side
    36,487.76x = 648,871,182.96
  5. Step 5: Solve for x
    x = 648,871,182.96/36,487.76
  6. Step 6: Final answer
    x = 17,783.26

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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.