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Finding the Fourth Proportional to 5,207.40, 7,804.17 and 1,917.45

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Solution

The fourth proportional to 5,207.40, 7,804.17 and 1,917.45 is: 2,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.40 : 7,804.17 = 1,917.45 : x
  2. Step 2: Convert to fraction form
    5,207.40/7,804.17 = 1,917.45/x
  3. Step 3: Cross multiply
    5,207.40x = 7,804.17 × 1,917.45
  4. Step 4: Simplify right side
    5,207.40x = 14,964,105.77
  5. Step 5: Solve for x
    x = 14,964,105.77/5,207.40
  6. Step 6: Final answer
    x = 2,873.62

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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.