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Finding the Fourth Proportional to 2,859.34, 3,947.76 and 2,199.64

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Solution

The fourth proportional to 2,859.34, 3,947.76 and 2,199.64 is: 3,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.34 : 3,947.76 = 2,199.64 : x
  2. Step 2: Convert to fraction form
    2,859.34/3,947.76 = 2,199.64/x
  3. Step 3: Cross multiply
    2,859.34x = 3,947.76 × 2,199.64
  4. Step 4: Simplify right side
    2,859.34x = 8,683,650.81
  5. Step 5: Solve for x
    x = 8,683,650.81/2,859.34
  6. Step 6: Final answer
    x = 3,036.94

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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.