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Finding the Fourth Proportional to 2,455.64, 3,683.58 and 812.14

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Solution

The fourth proportional to 2,455.64, 3,683.58 and 812.14 is: 1,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.64 : 3,683.58 = 812.14 : x
  2. Step 2: Convert to fraction form
    2,455.64/3,683.58 = 812.14/x
  3. Step 3: Cross multiply
    2,455.64x = 3,683.58 × 812.14
  4. Step 4: Simplify right side
    2,455.64x = 2,991,582.66
  5. Step 5: Solve for x
    x = 2,991,582.66/2,455.64
  6. Step 6: Final answer
    x = 1,218.25

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1.5x scale

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.