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Finding the Fourth Proportional to 32,403.20, 48,604.79 and 7,779.20

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Solution

The fourth proportional to 32,403.20, 48,604.79 and 7,779.20 is: 11,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.20 : 48,604.79 = 7,779.20 : x
  2. Step 2: Convert to fraction form
    32,403.20/48,604.79 = 7,779.20/x
  3. Step 3: Cross multiply
    32,403.20x = 48,604.79 × 7,779.20
  4. Step 4: Simplify right side
    32,403.20x = 378,106,100.45
  5. Step 5: Solve for x
    x = 378,106,100.45/32,403.20
  6. Step 6: Final answer
    x = 11,668.79

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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.