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Finding the Fourth Proportional to 3,874.65, 5,347.16 and 2,383.08

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Solution

The fourth proportional to 3,874.65, 5,347.16 and 2,383.08 is: 3,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.65 : 5,347.16 = 2,383.08 : x
  2. Step 2: Convert to fraction form
    3,874.65/5,347.16 = 2,383.08/x
  3. Step 3: Cross multiply
    3,874.65x = 5,347.16 × 2,383.08
  4. Step 4: Simplify right side
    3,874.65x = 12,742,710.05
  5. Step 5: Solve for x
    x = 12,742,710.05/3,874.65
  6. Step 6: Final answer
    x = 3,288.74

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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.