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Finding the Fourth Proportional to 25,309.87, 37,964.85 and 7,779.58

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Solution

The fourth proportional to 25,309.87, 37,964.85 and 7,779.58 is: 11,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.87 : 37,964.85 = 7,779.58 : x
  2. Step 2: Convert to fraction form
    25,309.87/37,964.85 = 7,779.58/x
  3. Step 3: Cross multiply
    25,309.87x = 37,964.85 × 7,779.58
  4. Step 4: Simplify right side
    25,309.87x = 295,350,587.76
  5. Step 5: Solve for x
    x = 295,350,587.76/25,309.87
  6. Step 6: Final answer
    x = 11,669.38

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Similar ratio
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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.