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Finding the Fourth Proportional to 37,481.21, 56,221.81 and 9,779.21

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Solution

The fourth proportional to 37,481.21, 56,221.81 and 9,779.21 is: 14,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,481.21 : 56,221.81 = 9,779.21 : x
  2. Step 2: Convert to fraction form
    37,481.21/56,221.81 = 9,779.21/x
  3. Step 3: Cross multiply
    37,481.21x = 56,221.81 × 9,779.21
  4. Step 4: Simplify right side
    37,481.21x = 549,804,791.84
  5. Step 5: Solve for x
    x = 549,804,791.84/37,481.21
  6. Step 6: Final answer
    x = 14,668.81

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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.