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Finding the Fourth Proportional to 36,658.50, 54,987.78 and 13,284.96

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Solution

The fourth proportional to 36,658.50, 54,987.78 and 13,284.96 is: 19,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.50 : 54,987.78 = 13,284.96 : x
  2. Step 2: Convert to fraction form
    36,658.50/54,987.78 = 13,284.96/x
  3. Step 3: Cross multiply
    36,658.50x = 54,987.78 × 13,284.96
  4. Step 4: Simplify right side
    36,658.50x = 730,510,457.79
  5. Step 5: Solve for x
    x = 730,510,457.79/36,658.50
  6. Step 6: Final answer
    x = 19,927.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.