Home / 2,509.19-3,764.39-777.81

Finding the Fourth Proportional to 2,509.19, 3,764.39 and 777.81

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Solution

The fourth proportional to 2,509.19, 3,764.39 and 777.81 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.19 : 3,764.39 = 777.81 : x
  2. Step 2: Convert to fraction form
    2,509.19/3,764.39 = 777.81/x
  3. Step 3: Cross multiply
    2,509.19x = 3,764.39 × 777.81
  4. Step 4: Simplify right side
    2,509.19x = 2,927,980.19
  5. Step 5: Solve for x
    x = 2,927,980.19/2,509.19
  6. Step 6: Final answer
    x = 1,166.90

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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.