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Finding the Fourth Proportional to 4,811.90, 6,640.53 and 3,019.46

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Solution

The fourth proportional to 4,811.90, 6,640.53 and 3,019.46 is: 4,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.90 : 6,640.53 = 3,019.46 : x
  2. Step 2: Convert to fraction form
    4,811.90/6,640.53 = 3,019.46/x
  3. Step 3: Cross multiply
    4,811.90x = 6,640.53 × 3,019.46
  4. Step 4: Simplify right side
    4,811.90x = 20,050,781.51
  5. Step 5: Solve for x
    x = 20,050,781.51/4,811.90
  6. Step 6: Final answer
    x = 4,166.91

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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.