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Finding the Fourth Proportional to 32,403.75, 48,605.63 and 7,779.75

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Solution

The fourth proportional to 32,403.75, 48,605.63 and 7,779.75 is: 11,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.75 : 48,605.63 = 7,779.75 : x
  2. Step 2: Convert to fraction form
    32,403.75/48,605.63 = 7,779.75/x
  3. Step 3: Cross multiply
    32,403.75x = 48,605.63 × 7,779.75
  4. Step 4: Simplify right side
    32,403.75x = 378,139,649.99
  5. Step 5: Solve for x
    x = 378,139,649.99/32,403.75
  6. Step 6: Final answer
    x = 11,669.63

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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.