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Finding the Fourth Proportional to 4,643.76, 6,959.16 and 3,956.88

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Solution

The fourth proportional to 4,643.76, 6,959.16 and 3,956.88 is: 5,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.76 : 6,959.16 = 3,956.88 : x
  2. Step 2: Convert to fraction form
    4,643.76/6,959.16 = 3,956.88/x
  3. Step 3: Cross multiply
    4,643.76x = 6,959.16 × 3,956.88
  4. Step 4: Simplify right side
    4,643.76x = 27,536,561.02
  5. Step 5: Solve for x
    x = 27,536,561.02/4,643.76
  6. Step 6: Final answer
    x = 5,929.80

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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.