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Finding the Fourth Proportional to 3,201.84, 4,416.84 and 3,111.48

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Solution

The fourth proportional to 3,201.84, 4,416.84 and 3,111.48 is: 4,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.84 : 4,416.84 = 3,111.48 : x
  2. Step 2: Convert to fraction form
    3,201.84/4,416.84 = 3,111.48/x
  3. Step 3: Cross multiply
    3,201.84x = 4,416.84 × 3,111.48
  4. Step 4: Simplify right side
    3,201.84x = 13,742,909.32
  5. Step 5: Solve for x
    x = 13,742,909.32/3,201.84
  6. Step 6: Final answer
    x = 4,292.19

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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.