Home / 7,784.81-11,677.25-1,941.42

Finding the Fourth Proportional to 7,784.81, 11,677.25 and 1,941.42

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Solution

The fourth proportional to 7,784.81, 11,677.25 and 1,941.42 is: 2,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.81 : 11,677.25 = 1,941.42 : x
  2. Step 2: Convert to fraction form
    7,784.81/11,677.25 = 1,941.42/x
  3. Step 3: Cross multiply
    7,784.81x = 11,677.25 × 1,941.42
  4. Step 4: Simplify right side
    7,784.81x = 22,670,411.40
  5. Step 5: Solve for x
    x = 22,670,411.40/7,784.81
  6. Step 6: Final answer
    x = 2,912.14

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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.