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Finding the Fourth Proportional to 5,200.81, 7,804.62 and 1,913.92

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Solution

The fourth proportional to 5,200.81, 7,804.62 and 1,913.92 is: 2,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.81 : 7,804.62 = 1,913.92 : x
  2. Step 2: Convert to fraction form
    5,200.81/7,804.62 = 1,913.92/x
  3. Step 3: Cross multiply
    5,200.81x = 7,804.62 × 1,913.92
  4. Step 4: Simplify right side
    5,200.81x = 14,937,418.31
  5. Step 5: Solve for x
    x = 14,937,418.31/5,200.81
  6. Step 6: Final answer
    x = 2,872.13

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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.