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Finding the Fourth Proportional to 6,859.63, 10,275.74 and 3,156.79

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Solution

The fourth proportional to 6,859.63, 10,275.74 and 3,156.79 is: 4,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.63 : 10,275.74 = 3,156.79 : x
  2. Step 2: Convert to fraction form
    6,859.63/10,275.74 = 3,156.79/x
  3. Step 3: Cross multiply
    6,859.63x = 10,275.74 × 3,156.79
  4. Step 4: Simplify right side
    6,859.63x = 32,438,353.27
  5. Step 5: Solve for x
    x = 32,438,353.27/6,859.63
  6. Step 6: Final answer
    x = 4,728.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.