Home / 1,616.38-2,230.62-917.76

Finding the Fourth Proportional to 1,616.38, 2,230.62 and 917.76

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Solution

The fourth proportional to 1,616.38, 2,230.62 and 917.76 is: 1,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.38 : 2,230.62 = 917.76 : x
  2. Step 2: Convert to fraction form
    1,616.38/2,230.62 = 917.76/x
  3. Step 3: Cross multiply
    1,616.38x = 2,230.62 × 917.76
  4. Step 4: Simplify right side
    1,616.38x = 2,047,173.81
  5. Step 5: Solve for x
    x = 2,047,173.81/1,616.38
  6. Step 6: Final answer
    x = 1,266.52

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1.5x scale

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.