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Finding the Fourth Proportional to 5,704.32, 7,869.24 and 3,345

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Solution

The fourth proportional to 5,704.32, 7,869.24 and 3,345 is: 4,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.32 : 7,869.24 = 3,345 : x
  2. Step 2: Convert to fraction form
    5,704.32/7,869.24 = 3,345/x
  3. Step 3: Cross multiply
    5,704.32x = 7,869.24 × 3,345
  4. Step 4: Simplify right side
    5,704.32x = 26,322,607.80
  5. Step 5: Solve for x
    x = 26,322,607.80/5,704.32
  6. Step 6: Final answer
    x = 4,614.50

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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.