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Finding the Fourth Proportional to 3,953.79, 5,926.50 and 1,320.63

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Solution

The fourth proportional to 3,953.79, 5,926.50 and 1,320.63 is: 1,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.79 : 5,926.50 = 1,320.63 : x
  2. Step 2: Convert to fraction form
    3,953.79/5,926.50 = 1,320.63/x
  3. Step 3: Cross multiply
    3,953.79x = 5,926.50 × 1,320.63
  4. Step 4: Simplify right side
    3,953.79x = 7,826,713.70
  5. Step 5: Solve for x
    x = 7,826,713.70/3,953.79
  6. Step 6: Final answer
    x = 1,979.55

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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.