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Finding the Fourth Proportional to 2,859.52, 4,291.20 and 1,320.64

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Solution

The fourth proportional to 2,859.52, 4,291.20 and 1,320.64 is: 1,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.52 : 4,291.20 = 1,320.64 : x
  2. Step 2: Convert to fraction form
    2,859.52/4,291.20 = 1,320.64/x
  3. Step 3: Cross multiply
    2,859.52x = 4,291.20 × 1,320.64
  4. Step 4: Simplify right side
    2,859.52x = 5,667,130.37
  5. Step 5: Solve for x
    x = 5,667,130.37/2,859.52
  6. Step 6: Final answer
    x = 1,981.85

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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.