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Finding the Fourth Proportional to 4,955.78, 6,838.92 and 2,859.86

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Solution

The fourth proportional to 4,955.78, 6,838.92 and 2,859.86 is: 3,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.78 : 6,838.92 = 2,859.86 : x
  2. Step 2: Convert to fraction form
    4,955.78/6,838.92 = 2,859.86/x
  3. Step 3: Cross multiply
    4,955.78x = 6,838.92 × 2,859.86
  4. Step 4: Simplify right side
    4,955.78x = 19,558,353.75
  5. Step 5: Solve for x
    x = 19,558,353.75/4,955.78
  6. Step 6: Final answer
    x = 3,946.57

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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.