Home / 1,616.14-2,230.26-917.50

Finding the Fourth Proportional to 1,616.14, 2,230.26 and 917.50

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Solution

The fourth proportional to 1,616.14, 2,230.26 and 917.50 is: 1,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.14 : 2,230.26 = 917.50 : x
  2. Step 2: Convert to fraction form
    1,616.14/2,230.26 = 917.50/x
  3. Step 3: Cross multiply
    1,616.14x = 2,230.26 × 917.50
  4. Step 4: Simplify right side
    1,616.14x = 2,046,263.55
  5. Step 5: Solve for x
    x = 2,046,263.55/1,616.14
  6. Step 6: Final answer
    x = 1,266.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.