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Finding the Fourth Proportional to 4,640.40, 6,404.28 and 2,777.40

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Solution

The fourth proportional to 4,640.40, 6,404.28 and 2,777.40 is: 3,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.40 : 6,404.28 = 2,777.40 : x
  2. Step 2: Convert to fraction form
    4,640.40/6,404.28 = 2,777.40/x
  3. Step 3: Cross multiply
    4,640.40x = 6,404.28 × 2,777.40
  4. Step 4: Simplify right side
    4,640.40x = 17,787,247.27
  5. Step 5: Solve for x
    x = 17,787,247.27/4,640.40
  6. Step 6: Final answer
    x = 3,833.13

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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.