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Finding the Fourth Proportional to 2,303.80, 3,455.62 and 917.84

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Solution

The fourth proportional to 2,303.80, 3,455.62 and 917.84 is: 1,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.80 : 3,455.62 = 917.84 : x
  2. Step 2: Convert to fraction form
    2,303.80/3,455.62 = 917.84/x
  3. Step 3: Cross multiply
    2,303.80x = 3,455.62 × 917.84
  4. Step 4: Simplify right side
    2,303.80x = 3,171,706.26
  5. Step 5: Solve for x
    x = 3,171,706.26/2,303.80
  6. Step 6: Final answer
    x = 1,376.73

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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.