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Finding the Fourth Proportional to 3,463.85, 4,778.93 and 1,971.39

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Solution

The fourth proportional to 3,463.85, 4,778.93 and 1,971.39 is: 2,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.85 : 4,778.93 = 1,971.39 : x
  2. Step 2: Convert to fraction form
    3,463.85/4,778.93 = 1,971.39/x
  3. Step 3: Cross multiply
    3,463.85x = 4,778.93 × 1,971.39
  4. Step 4: Simplify right side
    3,463.85x = 9,421,147.81
  5. Step 5: Solve for x
    x = 9,421,147.81/3,463.85
  6. Step 6: Final answer
    x = 2,719.85

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Double scale
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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.