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Finding the Fourth Proportional to 5,202.72, 7,804.20 and 1,913.66

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Solution

The fourth proportional to 5,202.72, 7,804.20 and 1,913.66 is: 2,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.72 : 7,804.20 = 1,913.66 : x
  2. Step 2: Convert to fraction form
    5,202.72/7,804.20 = 1,913.66/x
  3. Step 3: Cross multiply
    5,202.72x = 7,804.20 × 1,913.66
  4. Step 4: Simplify right side
    5,202.72x = 14,934,585.37
  5. Step 5: Solve for x
    x = 14,934,585.37/5,202.72
  6. Step 6: Final answer
    x = 2,870.53

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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.